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class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="目录" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目录</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">隐藏</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">序言</div> </a> </li> <li id="toc-数学性质" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#数学性质"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>数学性质</span> </div> </a> <button aria-controls="toc-数学性质-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关数学性质子章节</span> </button> <ul id="toc-数学性质-sublist" class="vector-toc-list"> <li id="toc-幾何" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#幾何"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>幾何</span> </div> </a> <ul id="toc-幾何-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-基本运算" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#基本运算"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>基本运算</span> </div> </a> <ul id="toc-基本运算-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-在科学中" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#在科学中"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>在科学中</span> </div> </a> <ul id="toc-在科学中-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-在聖經" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#在聖經"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>在聖經</span> </div> </a> <ul id="toc-在聖經-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-在人类文化中" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#在人类文化中"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>在人类文化中</span> </div> </a> <ul id="toc-在人类文化中-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参考文献" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参考文献"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>参考文献</span> </div> </a> <ul id="toc-参考文献-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目录" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="开关目录" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">开关目录</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">24</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="前往另一种语言写成的文章。93种语言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-93" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">93种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/24_(%D0%B0%D1%85%D1%8B%D4%A5%D1%85%D1%8C%D0%B0%D3%A1%D0%B0%D1%80%D0%B0)" title="24 (ахыԥхьаӡара) – 阿布哈西亚语" lang="ab" hreflang="ab" data-title="24 (ахыԥхьаӡара)" data-language-autonym="Аԥсшәа" data-language-local-name="阿布哈西亚语" class="interlanguage-link-target"><span>Аԥсшәа</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/24_(%D8%B9%D8%AF%D8%AF)" title="24 (عدد) – 阿拉伯语" lang="ar" hreflang="ar" data-title="24 (عدد)" data-language-autonym="العربية" data-language-local-name="阿拉伯语" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/24" title="24 – 摩洛哥阿拉伯文" lang="ary" hreflang="ary" data-title="24" data-language-autonym="الدارجة" data-language-local-name="摩洛哥阿拉伯文" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/24_(%C9%99d%C9%99d)" title="24 (ədəd) – 阿塞拜疆语" lang="az" hreflang="az" data-title="24 (ədəd)" data-language-autonym="Azərbaycanca" data-language-local-name="阿塞拜疆语" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DB%B2%DB%B4_(%D8%B3%D8%A7%DB%8C%DB%8C)" title="۲۴ (سایی) – South Azerbaijani" lang="azb" hreflang="azb" data-title="۲۴ (سایی)" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ban mw-list-item"><a href="https://ban.wikipedia.org/wiki/24_(angka)" title="24 (angka) – 巴厘语" lang="ban" hreflang="ban" data-title="24 (angka)" data-language-autonym="Basa Bali" data-language-local-name="巴厘语" class="interlanguage-link-target"><span>Basa Bali</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/24_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="24 (число) – 保加利亚语" lang="bg" hreflang="bg" data-title="24 (число)" data-language-autonym="Български" data-language-local-name="保加利亚语" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BC%A2%E0%BC%A4_(%E0%BD%82%E0%BE%B2%E0%BD%84%E0%BD%A6%E0%BC%8B%E0%BD%80%E0%BC%8D)" title="༢༤ (གྲངས་ཀ།) – 藏语" lang="bo" hreflang="bo" data-title="༢༤ (གྲངས་ཀ།)" data-language-autonym="བོད་ཡིག" data-language-local-name="藏语" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Vint-i-quatre" title="Vint-i-quatre – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Vint-i-quatre" data-language-autonym="Català" data-language-local-name="加泰罗尼亚语" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/24" title="24 – Mindong" lang="cdo" hreflang="cdo" data-title="24" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%A2%D9%A4_(%DA%98%D9%85%D8%A7%D8%B1%DB%95)" title="٢٤ (ژمارە) – 中库尔德语" lang="ckb" hreflang="ckb" data-title="٢٤ (ژمارە)" data-language-autonym="کوردی" data-language-local-name="中库尔德语" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/24_(%C4%8D%C3%ADslo)" title="24 (číslo) – 捷克语" lang="cs" hreflang="cs" data-title="24 (číslo)" data-language-autonym="Čeština" data-language-local-name="捷克语" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/24_(%D1%85%D0%B8%D1%81%D0%B5%D0%BF)" title="24 (хисеп) – 楚瓦什语" lang="cv" hreflang="cv" data-title="24 (хисеп)" data-language-autonym="Чӑвашла" data-language-local-name="楚瓦什语" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/24_(tal)" title="24 (tal) – 丹麦语" lang="da" hreflang="da" data-title="24 (tal)" data-language-autonym="Dansk" data-language-local-name="丹麦语" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Vierundzwanzig" title="Vierundzwanzig – 德语" lang="de" hreflang="de" data-title="Vierundzwanzig" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/24_(%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82)" title="24 (αριθμός) – 希腊语" lang="el" hreflang="el" data-title="24 (αριθμός)" data-language-autonym="Ελληνικά" data-language-local-name="希腊语" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/24_(n%C3%B9mer)" title="24 (nùmer) – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="24 (nùmer)" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/24_(number)" title="24 (number) – 英语" lang="en" hreflang="en" data-title="24 (number)" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/24_(nombro)" title="24 (nombro) – 世界语" lang="eo" hreflang="eo" data-title="24 (nombro)" data-language-autonym="Esperanto" data-language-local-name="世界语" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Veinticuatro" title="Veinticuatro – 西班牙语" lang="es" hreflang="es" data-title="Veinticuatro" data-language-autonym="Español" data-language-local-name="西班牙语" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Hogeita_lau" title="Hogeita lau – 巴斯克语" lang="eu" hreflang="eu" data-title="Hogeita lau" data-language-autonym="Euskara" data-language-local-name="巴斯克语" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%DB%B2%DB%B4_(%D8%B9%D8%AF%D8%AF)" title="۲۴ (عدد) – 波斯语" lang="fa" hreflang="fa" data-title="۲۴ (عدد)" data-language-autonym="فارسی" data-language-local-name="波斯语" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/24_(luku)" title="24 (luku) – 芬兰语" lang="fi" hreflang="fi" data-title="24 (luku)" data-language-autonym="Suomi" data-language-local-name="芬兰语" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Rua_ka_va" title="Rua ka va – 斐济语" lang="fj" hreflang="fj" data-title="Rua ka va" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="斐济语" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/24_(tal)" title="24 (tal) – 法罗语" lang="fo" hreflang="fo" data-title="24 (tal)" data-language-autonym="Føroyskt" data-language-local-name="法罗语" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/24_(nombre)" title="24 (nombre) – 法语" lang="fr" hreflang="fr" data-title="24 (nombre)" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/24_(uimhir)" title="24 (uimhir) – 爱尔兰语" lang="ga" hreflang="ga" data-title="24 (uimhir)" data-language-autonym="Gaeilge" data-language-local-name="爱尔兰语" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/24" title="24 – 赣语" lang="gan" hreflang="gan" data-title="24" data-language-autonym="贛語" data-language-local-name="赣语" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/24_(al%C6%99alami)" title="24 (alƙalami) – 豪萨语" lang="ha" hreflang="ha" data-title="24 (alƙalami)" data-language-autonym="Hausa" data-language-local-name="豪萨语" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/24_(%D7%9E%D7%A1%D7%A4%D7%A8)" title="24 (מספר) – 希伯来语" lang="he" hreflang="he" data-title="24 (מספר)" data-language-autonym="עברית" data-language-local-name="希伯来语" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/24_(nonm)" title="24 (nonm) – 海地克里奥尔语" lang="ht" hreflang="ht" data-title="24 (nonm)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="海地克里奥尔语" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/24_(sz%C3%A1m)" title="24 (szám) – 匈牙利语" lang="hu" hreflang="hu" data-title="24 (szám)" data-language-autonym="Magyar" data-language-local-name="匈牙利语" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/24_(%D5%A9%D5%AB%D5%BE)" title="24 (թիվ) – 亚美尼亚语" lang="hy" hreflang="hy" data-title="24 (թիվ)" data-language-autonym="Հայերեն" data-language-local-name="亚美尼亚语" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/24_(numero)" title="24 (numero) – 国际语" lang="ia" hreflang="ia" data-title="24 (numero)" data-language-autonym="Interlingua" data-language-local-name="国际语" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/24_(angka)" title="24 (angka) – 印度尼西亚语" lang="id" hreflang="id" data-title="24 (angka)" data-language-autonym="Bahasa Indonesia" data-language-local-name="印度尼西亚语" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/Iri_ab%E1%BB%A5o_na_an%E1%BB%8D" title="Iri abụo na anọ – 伊博语" lang="ig" hreflang="ig" data-title="Iri abụo na anọ" data-language-autonym="Igbo" data-language-local-name="伊博语" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ik mw-list-item"><a href="https://ik.wikipedia.org/wiki/I%C3%B1ui%C3%B1aq_sisamat" title="Iñuiñaq sisamat – 伊努皮克语" lang="ik" hreflang="ik" data-title="Iñuiñaq sisamat" data-language-autonym="Iñupiatun" data-language-local-name="伊努皮克语" class="interlanguage-link-target"><span>Iñupiatun</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/24_(numero)" title="24 (numero) – 意大利语" lang="it" hreflang="it" data-title="24 (numero)" data-language-autonym="Italiano" data-language-local-name="意大利语" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/24" title="24 – 日语" lang="ja" hreflang="ja" data-title="24" data-language-autonym="日本語" data-language-local-name="日语" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/24_(%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98)" title="24 (რიცხვი) – 格鲁吉亚语" lang="ka" hreflang="ka" data-title="24 (რიცხვი)" data-language-autonym="ქართული" data-language-local-name="格鲁吉亚语" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kcg mw-list-item"><a href="https://kcg.wikipedia.org/wiki/24_(la%CC%B1mba)" title="24 (la̱mba) – 卡塔布语" lang="kcg" hreflang="kcg" data-title="24 (la̱mba)" data-language-autonym="Tyap" data-language-local-name="卡塔布语" class="interlanguage-link-target"><span>Tyap</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/24" title="24 – 韩语" lang="ko" hreflang="ko" data-title="24" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/24_(%DA%AF%D8%B1%D9%8E%D9%9B%D9%86%D9%9B%D8%AF)" title="24 (گرَٛنٛد) – 克什米尔语" lang="ks" hreflang="ks" data-title="24 (گرَٛنٛد)" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="克什米尔语" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Viginti_quattuor" title="Viginti quattuor – 拉丁语" lang="la" hreflang="la" data-title="Viginti quattuor" data-language-autonym="Latina" data-language-local-name="拉丁语" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lbe mw-list-item"><a href="https://lbe.wikipedia.org/wiki/%D0%9A%D1%8C%D1%83%D0%BD%D0%B8%D1%8F_%D0%BC%D1%83%D0%BA%D1%8C%D0%B2%D0%B0" title="Кьуния мукьва – Lak" lang="lbe" hreflang="lbe" data-title="Кьуния мукьва" data-language-autonym="Лакку" data-language-local-name="Lak" class="interlanguage-link-target"><span>Лакку</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Amakumi_abiri_mu_nnya" title="Amakumi abiri mu nnya – 卢干达语" lang="lg" hreflang="lg" data-title="Amakumi abiri mu nnya" data-language-autonym="Luganda" data-language-local-name="卢干达语" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/24_(motuya)" title="24 (motuya) – 林加拉语" lang="ln" hreflang="ln" data-title="24 (motuya)" data-language-autonym="Lingála" data-language-local-name="林加拉语" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/24_(skaitlis)" title="24 (skaitlis) – 拉脱维亚语" lang="lv" hreflang="lv" data-title="24 (skaitlis)" data-language-autonym="Latviešu" data-language-local-name="拉脱维亚语" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A5%A8%E0%A5%AA" title="२४ – 迈蒂利语" lang="mai" hreflang="mai" data-title="२४" data-language-autonym="मैथिली" data-language-local-name="迈蒂利语" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/24_(%D0%B1%D1%80%D0%BE%D1%98)" title="24 (број) – 马其顿语" lang="mk" hreflang="mk" data-title="24 (број)" data-language-autonym="Македонски" data-language-local-name="马其顿语" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%B2%EA%AF%B4" title="꯲꯴ – 曼尼普尔语" lang="mni" hreflang="mni" data-title="꯲꯴" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="曼尼普尔语" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A5%A8%E0%A5%AA_(%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE)" title="२४ (संख्या) – 马拉地语" lang="mr" hreflang="mr" data-title="२४ (संख्या)" data-language-autonym="मराठी" data-language-local-name="马拉地语" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/24_(nombor)" title="24 (nombor) – 马来语" lang="ms" hreflang="ms" data-title="24 (nombor)" data-language-autonym="Bahasa Melayu" data-language-local-name="马来语" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/24_(%D0%BB%D0%BE%D0%B2%D0%BE%D0%BC%D0%B0_%D0%B2%D0%B0%D0%BB)" title="24 (ловома вал) – 厄尔兹亚语" lang="myv" hreflang="myv" data-title="24 (ловома вал)" data-language-autonym="Эрзянь" data-language-local-name="厄尔兹亚语" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%DB%B2%DB%B4_(%D8%B9%D8%AF%D8%AF)" title="۲۴ (عدد) – 马赞德兰语" lang="mzn" hreflang="mzn" data-title="۲۴ (عدد)" data-language-autonym="مازِرونی" data-language-local-name="马赞德兰语" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/C%C4%93mp%C5%8Dhualonn%C4%81hui" title="Cēmpōhualonnāhui – Nahuatl" lang="nah" hreflang="nah" data-title="Cēmpōhualonnāhui" data-language-autonym="Nāhuatl" data-language-local-name="Nahuatl" class="interlanguage-link-target"><span>Nāhuatl</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Vintiqu%C3%A0tte" title="Vintiquàtte – 那不勒斯语" lang="nap" hreflang="nap" data-title="Vintiquàtte" data-language-autonym="Napulitano" data-language-local-name="那不勒斯语" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/24_(getal)" title="24 (getal) – 荷兰语" lang="nl" hreflang="nl" data-title="24 (getal)" data-language-autonym="Nederlands" data-language-local-name="荷兰语" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Talet_24" title="Talet 24 – 挪威尼诺斯克语" lang="nn" hreflang="nn" data-title="Talet 24" data-language-autonym="Norsk nynorsk" data-language-local-name="挪威尼诺斯克语" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/24_(tall)" title="24 (tall) – 书面挪威语" lang="nb" hreflang="nb" data-title="24 (tall)" data-language-autonym="Norsk bokmål" data-language-local-name="书面挪威语" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/24_(nomoro)" title="24 (nomoro) – 北索托语" lang="nso" hreflang="nso" data-title="24 (nomoro)" data-language-autonym="Sesotho sa Leboa" data-language-local-name="北索托语" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/24_(liczba)" title="24 (liczba) – 波兰语" lang="pl" hreflang="pl" data-title="24 (liczba)" data-language-autonym="Polski" data-language-local-name="波兰语" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/24" title="24 – Western Punjabi" lang="pnb" hreflang="pnb" data-title="24" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DB%B2%DB%B4_(%D8%B9%D8%AF%D8%AF)" title="۲۴ (عدد) – 普什图语" lang="ps" hreflang="ps" data-title="۲۴ (عدد)" data-language-autonym="پښتو" data-language-local-name="普什图语" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt badge-Q70893996 mw-list-item" title=""><a href="https://pt.wikipedia.org/wiki/Vinte_e_quatro" title="Vinte e quatro – 葡萄牙语" lang="pt" hreflang="pt" data-title="Vinte e quatro" data-language-autonym="Português" data-language-local-name="葡萄牙语" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-rn mw-list-item"><a href="https://rn.wikipedia.org/wiki/Mirongo_ibiri_na_kane" title="Mirongo ibiri na kane – 隆迪语" lang="rn" hreflang="rn" data-title="Mirongo ibiri na kane" data-language-autonym="Ikirundi" data-language-local-name="隆迪语" class="interlanguage-link-target"><span>Ikirundi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/24_(num%C4%83r)" title="24 (număr) – 罗马尼亚语" lang="ro" hreflang="ro" data-title="24 (număr)" data-language-autonym="Română" data-language-local-name="罗马尼亚语" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/24_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="24 (число) – 俄语" lang="ru" hreflang="ru" data-title="24 (число)" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/24_(number)" title="24 (number) – Simple English" lang="en-simple" hreflang="en-simple" data-title="24 (number)" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/24_(%C5%A1tevilo)" title="24 (število) – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="24 (število)" data-language-autonym="Slovenščina" data-language-local-name="斯洛文尼亚语" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/24_(tiro)" title="24 (tiro) – 索马里语" lang="so" hreflang="so" data-title="24 (tiro)" data-language-autonym="Soomaaliga" data-language-local-name="索马里语" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/24_(%D0%B1%D1%80%D0%BE%D1%98)" title="24 (број) – 塞尔维亚语" lang="sr" hreflang="sr" data-title="24 (број)" data-language-autonym="Српски / srpski" data-language-local-name="塞尔维亚语" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-srn mw-list-item"><a href="https://srn.wikipedia.org/wiki/Numro_24" title="Numro 24 – 苏里南汤加语" lang="srn" hreflang="srn" data-title="Numro 24" data-language-autonym="Sranantongo" data-language-local-name="苏里南汤加语" class="interlanguage-link-target"><span>Sranantongo</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/24_(tal)" title="24 (tal) – 瑞典语" lang="sv" hreflang="sv" data-title="24 (tal)" data-language-autonym="Svenska" data-language-local-name="瑞典语" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Ishirini_na_nne" title="Ishirini na nne – 斯瓦希里语" lang="sw" hreflang="sw" data-title="Ishirini na nne" data-language-autonym="Kiswahili" data-language-local-name="斯瓦希里语" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/24_(%E0%B0%B8%E0%B0%82%E0%B0%96%E0%B1%8D%E0%B0%AF)" title="24 (సంఖ్య) – 泰卢固语" lang="te" hreflang="te" data-title="24 (సంఖ్య)" data-language-autonym="తెలుగు" data-language-local-name="泰卢固语" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/24" title="24 – 泰语" lang="th" hreflang="th" data-title="24" data-language-autonym="ไทย" data-language-local-name="泰语" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/24_(say%C4%B1)" title="24 (sayı) – 土耳其语" lang="tr" hreflang="tr" data-title="24 (sayı)" data-language-autonym="Türkçe" data-language-local-name="土耳其语" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/24_(%D1%81%D0%B0%D0%BD)" title="24 (сан) – 鞑靼语" lang="tt" hreflang="tt" data-title="24 (сан)" data-language-autonym="Татарча / tatarça" data-language-local-name="鞑靼语" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-tyv mw-list-item"><a href="https://tyv.wikipedia.org/wiki/24" title="24 – 图瓦语" lang="tyv" hreflang="tyv" data-title="24" data-language-autonym="Тыва дыл" data-language-local-name="图瓦语" class="interlanguage-link-target"><span>Тыва дыл</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/24_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="24 (число) – 乌克兰语" lang="uk" hreflang="uk" data-title="24 (число)" data-language-autonym="Українська" data-language-local-name="乌克兰语" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/24_(%D8%B9%D8%AF%D8%AF)" title="24 (عدد) – 乌尔都语" lang="ur" hreflang="ur" data-title="24 (عدد)" data-language-autonym="اردو" data-language-local-name="乌尔都语" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/24_(son)" title="24 (son) – 乌兹别克语" lang="uz" hreflang="uz" data-title="24 (son)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="乌兹别克语" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/24_(lugu)" title="24 (lugu) – 维普森语" lang="vep" hreflang="vep" data-title="24 (lugu)" data-language-autonym="Vepsän kel’" data-language-local-name="维普森语" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/24_(s%E1%BB%91)" title="24 (số) – 越南语" lang="vi" hreflang="vi" data-title="24 (số)" data-language-autonym="Tiếng Việt" data-language-local-name="越南语" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/24_(getal)" title="24 (getal) – 西佛蘭德文" lang="vls" hreflang="vls" data-title="24 (getal)" data-language-autonym="West-Vlams" data-language-local-name="西佛蘭德文" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/24_(ihap)" title="24 (ihap) – 瓦瑞语" lang="war" hreflang="war" data-title="24 (ihap)" data-language-autonym="Winaray" data-language-local-name="瓦瑞语" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/24" title="24 – 吴语" lang="wuu" hreflang="wuu" data-title="24" data-language-autonym="吴语" data-language-local-name="吴语" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/24_(%D7%A0%D7%95%D7%9E%D7%A2%D7%A8)" title="24 (נומער) – 意第绪语" lang="yi" hreflang="yi" data-title="24 (נומער)" data-language-autonym="ייִדיש" data-language-local-name="意第绪语" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/24" title="24 – 壮语" lang="za" hreflang="za" data-title="24" data-language-autonym="Vahcuengh" data-language-local-name="壮语" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/24_(%E2%B4%B0%E2%B5%8E%E2%B4%B9%E2%B4%B0%E2%B5%8F)" title="24 (ⴰⵎⴹⴰⵏ) – 标准摩洛哥塔马塞特语" lang="zgh" hreflang="zgh" data-title="24 (ⴰⵎⴹⴰⵏ)" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="标准摩洛哥塔马塞特语" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/24" title="24 – 闽南语" lang="nan" hreflang="nan" data-title="24" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="闽南语" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/24" title="24 – 粤语" lang="yue" hreflang="yue" data-title="24" data-language-autonym="粵語" data-language-local-name="粤语" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q79988#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/24" title="浏览条目正文[c]" accesskey="c"><span>条目</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:24" rel="discussion" title="关于此页面的讨论[t]" accesskey="t"><span>讨论</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown " > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="更改语言变体" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">不转换</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants" > <div class="vector-menu-content"> <ul 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class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">工具</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">隐藏</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="更多选项" > <div class="vector-menu-heading"> 操作 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item 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wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/24" hreflang="en"><span>维基共享资源</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q79988" title="链接到连接的数据仓库项目[g]" accesskey="g"><span>维基数据项目</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="外观"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">外观</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">隐藏</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> <div id="mw-indicator-noteTA-307af9e9" class="mw-indicator"><div class="mw-parser-output"><span class="skin-invert" typeof="mw:File"><span title="本页使用了标题或全文手工转换"><img alt="本页使用了标题或全文手工转换" 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.infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}html.skin-theme-clientpref-night .mw-parser-output .infobox td div:not(.notheme)[style]{background:transparent!important;color:var(--color-base,#202122)}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox td div:not(.notheme)[style]{background:transparent!important;color:var(--color-base,#202122)}}html.skin-theme-clientpref-night .mw-parser-output .infobox td div.NavHead:not(.notheme)[style]{background:transparent!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox td div.NavHead:not(.notheme)[style]{background:transparent!important}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox" style="line-height: 1.5em"><caption class="infobox-title"><style data-mw-deduplicate="TemplateStyles:r85009877">.mw-parser-output .hvanchor>:target~.hvanchor-text{display:initial}.mw-parser-output .hvanchor>:target~.svanchor-text,.mw-parser-output .hvanchor>:target~.svanchor-text .anchor-high-light,.mw-parser-output .hvanchor>:target~.hvanchor-text .anchor-high-light{background-color:#b1d2ff}.mw-parser-output .hvanchor-text{display:none}.mw-parser-output .hvanchor>:target~.ihvanchor-text{display:none}.mw-parser-output .ihvanchor-text{display:initial}</style><span class="hvanchor"><span class="anchor" id="24資料"></span><span class="anchor" id="24資料"></span><span class="svanchor-text">24</span><span class="hvanchor-text"></span></span></caption><tbody><tr><th colspan="2" class="infobox-above" style="font-size: 150%"><table style="width:100%; margin:0"><tbody><tr> <td style="width:15%; text-align:left; white-space: nowrap; font-size:smaller"><a href="/wiki/23" title="23">← 23 </a></td> <td style="width:70%; padding-left:1em; padding-right:1em; text-align: center;">24</td> <td style="width:15%; text-align:right; white-space: nowrap; font-size:smaller"><a href="/wiki/25" title="25"> 25 →</a></td> </tr></tbody></table></th></tr><tr><td colspan="2" class="infobox-subheader" style="font-size:100%;"><table style="width:100%; margin:0;"><tbody><tr style="align:center;white-space:nowrap;"> <td><a href="/wiki/%E6%95%B0%E8%A1%A8" class="mw-redirect" title="数表">数表</a> — <a href="/wiki/%E6%95%B4%E6%95%B0" title="整数">整数</a> <div style="text−align: center;"> <p><small> <a href="/wiki/19" title="19"><<</a>  <a href="/wiki/20" title="20">20</a> <a href="/wiki/21" title="21">21</a> <a href="/wiki/22" title="22">22</a> <a href="/wiki/23" title="23">23</a> <a class="mw-selflink selflink">24</a> <a href="/wiki/25" title="25">25</a> <a href="/wiki/26" title="26">26</a> <a href="/wiki/27" title="27">27</a> <a href="/wiki/28" title="28">28</a> <a href="/wiki/29" title="29">29</a> <a href="/wiki/30" title="30">>></a> </small> </p> </div></td> </tr></tbody></table></td></tr><tr><th colspan="2" class="infobox-header" style="">命名</th></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E4%B8%AD%E6%96%87%E6%95%B8%E5%AD%97" class="mw-redirect" title="中文數字">小寫</a></th><td class="infobox-data" style="">二十四</td></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E4%B8%AD%E6%96%87%E6%95%B8%E5%AD%97" class="mw-redirect" title="中文數字">大寫</a></th><td class="infobox-data" style="">貳拾肆</td></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E5%BA%8F%E6%95%B8%E8%A9%9E" title="序數詞">序數詞</a></th><td class="infobox-data" style="">第二十四<br />twenty-fourth</td></tr><tr><th colspan="2" class="infobox-header" style="">識別</th></tr><tr><th scope="row" class="infobox-label" style="">種類</th><td class="infobox-data" style="">整數</td></tr><tr><th colspan="2" class="infobox-header" style="">性質</th></tr><tr><th scope="row" class="infobox-label" style=""><span class="nowrap"><a href="/wiki/%E8%B3%AA%E5%9B%A0%E6%95%B8%E5%88%86%E8%A7%A3" class="mw-redirect" title="質因數分解">質因數分解</a></span></th><td class="infobox-data" style=""><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0" /> </mrow> <annotation encoding="application/x-tex">{\displaystyle }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{3}\times 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>×</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{3}\times 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/144c29f78bdec8470bfd10bae97ef7563be4e9fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.22ex; height:2.676ex;" alt="{\displaystyle 2^{3}\times 3}"></span></td></tr><tr><th colspan="2" class="infobox-header" style="">表示方式</th></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E5%80%BC" title="值">值</a></th><td class="infobox-data" style="">24</td></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E7%AE%97%E7%AD%B9" title="算筹">算筹</a></th><td class="infobox-data" style=""><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/51/Counting_rod_h2.png" decoding="async" width="29" height="13" class="mw-file-element" data-file-width="29" data-file-height="13" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/67/Counting_rod_v4.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span></td></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E5%B8%8C%E8%85%8A%E6%95%B0%E5%AD%97" title="希腊数字">希腊数字</a></th><td class="infobox-data" style=""><span lang="el">ΚΔ´ </span></td></tr><tr><th scope="row" class="infobox-label" style=""><a href="/wiki/%E7%BE%85%E9%A6%AC%E6%95%B8%E5%AD%97" class="mw-redirect" title="羅馬數字">羅馬數字</a></th><td class="infobox-data" style=""><style data-mw-deduplicate="TemplateStyles:r75010853">.mw-parser-output .roman-numeral{font-family:"Nimbus Roman No9 L","Times New Roman",Times,serif;font-size:118%;line-height:1}.mw-parser-output .roman-numeral-a{border:1px solid}.mw-parser-output .roman-numeral-t{border-top:1px solid}.mw-parser-output .roman-numeral-v{border:solid;border-width:0 1px;padding:0 2px}.mw-parser-output .roman-numeral-h{border:solid;border-width:1px 0}.mw-parser-output .roman-numeral-tv{border:1px solid;border-bottom:none;padding:0 2px}</style><span class="roman-numeral" title="Roman numeral">XXIV </span></td></tr><tr><td colspan="2" class="infobox-full-data" style=""></td></tr><tr><th><a href="/wiki/%E5%B7%B4%E6%AF%94%E4%BC%A6%E6%95%B0%E5%AD%97" title="巴比伦数字">巴比伦数字</a></th><td>𒎙𒐘<span style="float:right"><span class="mw-valign-text-top" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q79988?uselang=zh#Q79988$8D2791F4-392B-498C-92AC-14DCE056F7DF" title="在维基数据编辑"><img alt="在维基数据编辑" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><td colspan="2" class="infobox-full-data" style=""></td></tr><tr><th><a href="/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制">二进制</a></th><td>11000<sub>(2)</sub></td></tr><tr><th><a href="/wiki/%E4%B8%89%E8%BF%9B%E5%88%B6" title="三进制">三进制</a></th><td>220<sub>(3)</sub></td></tr><tr><th><a href="/wiki/%E5%9B%9B%E8%BF%9B%E5%88%B6" class="mw-redirect" title="四进制">四进制</a></th><td>120<sub>(4)</sub></td></tr><tr><th><a href="/wiki/%E4%BA%94%E9%80%B2%E5%88%B6" title="五進制">五进制</a></th><td>44<sub>(5)</sub></td></tr><tr><th><a href="/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制">八进制</a></th><td>30<sub>(8)</sub></td></tr><tr><th><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="十二进制">十二进制</a></th><td>20<sub>(12)</sub></td></tr><tr><th><a href="/wiki/%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" title="十六进制">十六进制</a></th><td>18<sub>(16)</sub></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><td colspan="2" class="infobox-navbar"><style data-mw-deduplicate="TemplateStyles:r84265675">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:" :"}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist-pipe dd::after,.mw-parser-output .hlist-pipe li::after{content:" | ";font-weight:normal}.mw-parser-output .hlist-hyphen dd::after,.mw-parser-output .hlist-hyphen li::after{content:" - ";font-weight:normal}.mw-parser-output .hlist-comma dd::after,.mw-parser-output .hlist-comma li::after{content:"、";font-weight:normal}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:"（"counter(listitem)"\a0 "}.mw-parser-output ul.cslist,.mw-parser-output ul.sslist{margin:0;padding:0;display:inline-block;list-style:none}.mw-parser-output .cslist li,.mw-parser-output .sslist li{margin:0;display:inline-block}.mw-parser-output .cslist li::after{content:"，"}.mw-parser-output .sslist li::after{content:"；"}.mw-parser-output .cslist li:last-child::after,.mw-parser-output .sslist li:last-child::after{content:none}</style><style data-mw-deduplicate="TemplateStyles:r84244141">.mw-parser-output .navbar{display:inline;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:110%;margin:0 8em}.mw-parser-output .navbar-ct-mini{font-size:110%;margin:0 5em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:%E6%95%B4%E6%95%B0" title="Template:整数"><abbr title="查看该模板">查</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:%E6%95%B4%E6%95%B0" title="Template talk:整数"><abbr title="讨论该模板">论</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:%E6%95%B4%E6%95%B0" title="Special:编辑页面/Template:整数"><abbr title="编辑该模板">编</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>24</b>（二十四）是<a href="/wiki/23" title="23">23</a>与<a href="/wiki/25" title="25">25</a>之间的<a href="/wiki/%E8%87%AA%E7%84%B6%E6%95%B0" title="自然数">自然数</a>，是一個<a href="/wiki/%E5%90%88%E6%95%B8" class="mw-redirect" title="合數">合數</a>，<a href="/wiki/%E8%B3%AA%E5%9B%A0%E6%95%B8" title="質因數">質因數</a>有2和3。常見文化中有許多事物與24有關，例如<a href="/wiki/%E4%B8%80%E6%97%A5" class="mw-redirect" title="一日">一日</a>有24<a href="/wiki/%E5%B0%8F%E6%99%82" class="mw-redirect" title="小時">小時</a>、一年有24<a href="/wiki/%E7%AF%80%E6%B0%A3" class="mw-redirect" title="節氣">節氣</a>。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="数学性质"><span id=".E6.95.B0.E5.AD.A6.E6.80.A7.E8.B4.A8"></span>数学性质</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=1" title="编辑章节：数学性质"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>第14個<a href="/wiki/%E5%90%88%E6%95%B0" title="合数">合數</a>，<a href="/wiki/%E5%9B%A0%E6%95%B8" title="因數">正因數</a>有1、2、3、4、6、8、12和24。前一個為<a href="/wiki/22" title="22">22</a>、下一個為<a href="/wiki/25" title="25">25</a>。 <dl><dd><a href="/wiki/%E6%95%B4%E6%95%B0%E5%88%86%E8%A7%A3" title="整数分解">質因數分解</a>為<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{3}\times 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>×</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{3}\times 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/144c29f78bdec8470bfd10bae97ef7563be4e9fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.22ex; height:2.676ex;" alt="{\displaystyle 2^{3}\times 3}"></span>。</dd></dl></li> <li>24不包含本身的因數和為36，因此24是一個<a href="/wiki/%E8%BF%87%E5%89%A9%E6%95%B0" title="过剩数">過剩數</a>，其因數和超過本身12，這個值稱為24的盈度。24是第4個擁有這種性質的數字。前一個為<a href="/wiki/20" title="20">20</a>、下一個為<a href="/wiki/30" title="30">30</a>。 <ul><li>第5個<a href="/wiki/%E5%8D%8A%E5%AE%8C%E5%85%A8%E6%95%B0" title="半完全数">半完全數</a>，和為本身的其中一組因數為<a href="/wiki/1" title="1">1</a>、 <a href="/wiki/2" title="2">2</a>、 <a href="/wiki/3" title="3">3</a>、 <a href="/wiki/4" title="4">4</a>、 <a href="/wiki/6" title="6">6</a>、 <a href="/wiki/8" title="8">8</a>。前一個為<a href="/wiki/20" title="20">20</a>、下一個為<a href="/wiki/28" title="28">28</a>。</li></ul></li> <li>第6個<a href="/wiki/%E9%AB%98%E5%90%88%E6%88%90%E6%95%B0" title="高合成数">高合成數</a>。前一個為<a href="/wiki/12" title="12">12</a>、下一個為<a href="/wiki/36" title="36">36</a>。</li> <li><a href="/wiki/%E4%BD%A9%E6%9C%8D%E6%95%B8" title="佩服數">佩服數</a>：24存在一個因數6，使得除了6和本身的因數相加後再扣掉6等於24本身，因此24是一個<a href="/wiki/%E4%BD%A9%E6%9C%8D%E6%95%B8" title="佩服數">佩服數</a>，是第3個有此性質的數。</li> <li>4的<a href="/wiki/%E9%9A%8E%E4%B9%98" title="階乘">階乘</a>。前一個為<a href="/wiki/6" title="6">6</a>、下一個為<a href="/wiki/120" title="120">120</a>。</li> <li>第15個<a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a>的<a href="/wiki/%E5%93%88%E6%B2%99%E5%BE%B7%E6%95%B8" title="哈沙德數">哈沙德數</a>。前一個為<a href="/wiki/21" title="21">21</a>、下一個為<a href="/wiki/27" title="27">27</a>。</li> <li>第9個<a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a>的<a href="/wiki/%E5%A5%A2%E4%BE%88%E6%95%B8" title="奢侈數">奢侈數</a>。前一個為<a href="/wiki/22" title="22">22</a>、下一個為<a href="/wiki/26" title="26">26</a>。</li> <li>正二十四邊形為第12個<a href="/wiki/%E5%8F%AF%E4%BD%9C%E5%9B%BE%E5%A4%9A%E8%BE%B9%E5%BD%A2" title="可作图多边形">可作圖多邊形</a>。前一個為<a href="/wiki/20" title="20">20</a>、下一個為<a href="/wiki/30" title="30">30</a>。</li> <li><a href="/wiki/%E9%AB%98%E5%90%88%E6%88%90%E6%95%B8" class="mw-redirect" title="高合成數">高合成數</a>：24共有8個因數，任何比24小的<a href="/wiki/%E8%87%AA%E7%84%B6%E6%95%B8" class="mw-redirect" title="自然數">自然數</a>之因數數量均少於8個，因此24是一個高合成數，是第6個擁有此性質的數字，前一個是12，下一個是36<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> 。</li> <li><a href="/wiki/%E5%8D%8A%E5%AE%8C%E5%85%A8%E6%95%B8" class="mw-redirect" title="半完全數">半完全數</a>：24的因數中，前6個因數的和為本身，除了4和8以及本身之外的其他因數的和也是本身，因此24是一個半完全數，是第五個擁有此性質的數字，前一個是20，下一個是28<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> 。</li> <li><a href="/wiki/%E7%9B%B8%E5%AE%B9%E6%95%B8" class="mw-redirect" title="相容數">相容數</a>：24存在一個因數4使得其餘不含本身的因數之和減去4等於28，而28也存在一個因數2，使得其餘不含本身的因數之和減去2等於24，因此24和28是一對相容數，是第一組有此種性質的數對，下一對是(30, 40)。</li> <li>每个<a href="/wiki/%E5%9B%A0%E5%AD%90" class="mw-redirect" title="因子">因子</a>减一（包括本身，不包括1，2）得到的数都是<a href="/wiki/%E7%B4%A0%E6%95%B0" class="mw-redirect" title="素数">素数</a>：24是第6個具有此性質的數字，也是具有这样的性质的最大的数，前一個是12。而其餘具有此性質的數字正好都是24的因數<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>。</li> <li>高過剩數：24的<a href="/wiki/%E7%9C%9F%E5%9B%A0%E6%95%B8%E5%92%8C" title="真因數和">真因數和</a>是36，<a href="/wiki/%E7%9C%9F%E5%9B%A0%E6%95%B8%E5%92%8C%E6%95%B8%E5%88%97" class="mw-redirect" title="真因數和數列">真因數和數列</a>為 (24, 36, 55, 17, 1, 0)。由於24的<a href="/wiki/%E7%9C%9F%E5%9B%A0%E6%95%B8" class="mw-redirect" title="真因數">真因數</a>和也是過剩數因此24是一種高過剩數。24是第一個有此性質的數，下一個是30。</li> <li>24是4的<a href="/wiki/%E9%9A%8E%E4%B9%98" title="階乘">階乘</a>，這代表了4個相異的物品任意排列共有24種不同的排列方法。例如序列 (1,2,3,4)，這24種可能的排列為： (1,2,3,4), (1,2,4,3), (1,3,2,4), (1,3,4,2), (1,4,2,3), (1,4,3,2), (2,1,3,4), (2,1,4,3), (2,3,1,4), (2,3,4,1), (2,4,1,3), (2,4,3,1), (3,1,2,4), (3,1,4,2), (3,2,1,4), (3,2,4,1), (3,4,1,2), (3,4,2,1), (4,1,2,3), (4,1,3,2), (4,2,1,3), (4,2,3,1), (4,3,1,2), (4,3,2,1)。</li> <li>24的<a href="/wiki/%E7%9C%9F%E5%9B%A0%E6%95%B8%E5%92%8C" title="真因數和">真因數和</a>為36，其<a href="/w/index.php?title=%E7%9C%9F%E5%9B%A0%E6%95%B8%E5%92%8C%E5%BA%8F%E5%88%97&action=edit&redlink=1" class="new" title="真因數和序列（页面不存在）">真因數和序列</a>為(24, 36, 55, 17, 1, 0). 24是最小的<a href="/wiki/%E7%9C%9F%E5%9B%A0%E6%95%B8%E5%92%8C" title="真因數和">真因數和</a>也是過剩數的過剩數。</li> <li>只有一個整數的<a href="/wiki/%E7%9C%9F%E5%9B%A0%E6%95%B8" class="mw-redirect" title="真因數">真因數</a>和是24，即529 = 23<sup>2</sup>。</li> <li><a href="/wiki/%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0" title="欧拉函数">φ(x)</a> = 24 有10個解，分別為35, 39, 45, 52, 56, 70, 72, 78, 84 和 90。其數量比所有小於24的整數還多，因此24是一個<a href="/wiki/%E9%AB%98%E6%AD%90%E6%8B%89%E5%95%86%E6%95%B8" title="高歐拉商數">高歐拉商數</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>，前一個是12，下一個是48。</li> <li>24是一個<a href="/wiki/%E4%B9%9D%E9%82%8A%E5%BD%A2%E6%95%B8" title="九邊形數">九邊形數</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup>，前一個是9，下一個是46。</li> <li>24是一對<a href="/wiki/%E5%AD%BF%E7%94%9F%E8%B3%AA%E6%95%B8" class="mw-redirect" title="孿生質數">孿生質數</a>的和，該對孿生質數為(11, 13)。前一個是12，為(5, 7)的和；下一個是36，為(17, 19)的和。</li> <li>24是一個<a href="/wiki/%E5%93%88%E6%B2%99%E5%BE%B7%E6%95%B8" title="哈沙德數">哈沙德數</a><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup>，前一個是21，下一個是27。</li> <li>24是一個半曲流數<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup>，前一個是10，下一個是66。</li> <li>24是一個<span class="ilh-all" data-orig-title="廣義的斐波那契數#三波那契數" data-lang-code="en" data-lang-name="英语" data-foreign-title="Generalizations_of_Fibonacci_numbers#Tribonacci numbers"><span class="ilh-page"><a href="/w/index.php?title=%E5%BB%A3%E7%BE%A9%E7%9A%84%E6%96%90%E6%B3%A2%E9%82%A3%E5%A5%91%E6%95%B8&action=edit&redlink=1" class="new" title="廣義的斐波那契數（页面不存在）">三波那契數</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Generalizations_of_Fibonacci_numbers#Tribonacci_numbers" class="extiw" title="en:Generalizations of Fibonacci numbers"><span lang="en" dir="auto">Generalizations_of_Fibonacci_numbers#Tribonacci numbers</span></a></span>）</span></span><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup>，前一個是13，下一個是44。</li> <li>24是一個<a href="/wiki/%E9%82%AA%E6%83%A1%E6%95%B8" title="邪惡數">邪惡數</a>，前一個是23，下一個是27。</li> <li>任何連續4個<a href="/wiki/%E6%95%B4%E6%95%B8" class="mw-redirect" title="整數">整數</a>的<a href="/wiki/%E4%B9%98%E7%A7%AF" class="mw-redirect" title="乘积">乘積</a>都可以被24<a href="/wiki/%E6%95%B4%E9%99%A4" class="mw-redirect" title="整除">整除</a>。因為其中會包含2個偶數，其中一個偶數會是4的倍數，且至少會包含一個三的倍數。</li> <li>24是<span class="ilh-all" data-orig-title="炮彈問題" data-lang-code="en" data-lang-name="英语" data-foreign-title="Cannonball problem"><span class="ilh-page"><a href="/w/index.php?title=%E7%82%AE%E5%BD%88%E5%95%8F%E9%A1%8C&action=edit&redlink=1" class="new" title="炮彈問題（页面不存在）">炮彈問題</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Cannonball_problem" class="extiw" title="en:Cannonball problem"><span lang="en" dir="auto">Cannonball problem</span></a></span>）</span></span>唯一的<a href="/wiki/%E5%B9%B3%E5%87%A1_(%E6%95%B8%E5%AD%B8)" title="平凡 (數學)">非平凡解</a>（nontrivial solution），1<sup>2</sup> + 2<sup>2</sup> + 3<sup>2</sup> + … + 24<sup>2</sup>是完全<a href="/wiki/%E5%B9%B3%E6%96%B9%E6%95%B8" class="mw-redirect" title="平方數">平方數</a>（70<sup>2</sup>）（炮彈問題的平凡解為1<sup>2</sup> = 1<sup>2</sup>）。</li> <li><a href="/wiki/%E9%AD%8F%E7%88%BE%E6%96%AF%E7%89%B9%E6%8B%89%E6%96%AF%E6%A9%A2%E5%9C%93%E5%87%BD%E6%95%B8" title="魏爾斯特拉斯橢圓函數">魏爾斯特拉斯橢圓函數</a>的<a href="/wiki/%E9%AD%8F%E7%88%BE%E6%96%AF%E7%89%B9%E6%8B%89%E6%96%AF%E6%A9%A2%E5%9C%93%E5%87%BD%E6%95%B8#模判別式" title="魏爾斯特拉斯橢圓函數">模判別式</a>Δ(<i><style data-mw-deduplicate="TemplateStyles:r58896141">.mw-parser-output .serif{font-family:Times,serif}</style><span class="serif"><span class="texhtml">τ</span></span></i>)是<a href="/wiki/%E6%88%B4%E5%BE%B7%E9%87%91%CE%B7%E5%87%BD%E6%95%B8" title="戴德金η函數">戴德金η函數</a>的24次方： η(<i><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r58896141"><span class="serif"><span class="texhtml">τ</span></span></i>):  Δ(<i><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r58896141"><span class="serif"><span class="texhtml">τ</span></span></i>) = (2<span class="texhtml">π</span>)<sup>12</sup>η(τ)<sup>24</sup>.</li> <li>24是唯一所有因數n在<a href="/wiki/%E6%A8%A1%E7%AE%97%E6%95%B8" title="模算數">Z/nZ</a><a href="/wiki/%E4%BA%A4%E6%8D%A2%E7%8E%AF" title="交换环">交换环</a>中，其反元素皆為1的平方根的數。因此，乘法群(<b>Z</b>/24<b>Z</b>)<sup>×</sup> = {±1, ±5, ±7, ±11}與加法群(<b>Z</b>/2<b>Z</b>)<sup>3</sup>是同構的。這是因為<a href="/wiki/%E6%80%AA%E5%85%BD%E6%9C%88%E5%85%89%E7%90%86%E8%AE%BA" title="怪兽月光理论">怪兽月光理论</a>的緣故。 <dl><dd>因此，任何與24互質的數字n，特別是任何大於3的質數n，都會具有<i>n</i><sup>2</sup> – 1可以被24整除的性質。 <ul><li>例如：23與24互質，<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {{{23}^{2}}-{1}}=528}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mrow> <mo>=</mo> <mn>528</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {{{23}^{2}}-{1}}=528}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/51ea5c2ae70d6dbd5746d1bb21abee1ec8246f8f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:13.968ex; height:2.843ex;" alt="{\displaystyle {{{23}^{2}}-{1}}=528}"></span><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \,=22\times 24}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mo>=</mo> <mn>22</mn> <mo>×</mo> <mn>24</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,=22\times 24}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f933f115ca59cd09016ad9abdce6fa75d10a863c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.331ex; height:2.176ex;" alt="{\displaystyle \,=22\times 24}"></span>。</li></ul></dd></dl></li> <li>24是第二個<span class="ilh-all" data-orig-title="格朗維爾數" data-lang-code="en" data-lang-name="英语" data-foreign-title="Granville number"><span class="ilh-page"><a href="/w/index.php?title=%E6%A0%BC%E6%9C%97%E7%B6%AD%E7%88%BE%E6%95%B8&action=edit&redlink=1" class="new" title="格朗維爾數（页面不存在）">格朗維爾數</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Granville_number" class="extiw" title="en:Granville number"><span lang="en" dir="auto">Granville number</span></a></span>）</span></span>，前一個是6，下一個是28。<sup id="cite_ref-De_Koninck_(1998)_9-0" class="reference"><a href="#cite_note-De_Koninck_(1998)-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></li> <li>24是可被不大於其<a href="/wiki/%E5%B9%B3%E6%96%B9%E6%A0%B9" title="平方根">平方根</a>的所有<a href="/wiki/%E8%87%AA%E7%84%B6%E6%95%B8" class="mw-redirect" title="自然數">自然數</a>整除的最大整數<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup>，前一個有這種性質的數是<a href="/wiki/12" title="12">12</a>。</li> <li>24是第6個威佐夫AB數，前一個是21，下一個是29<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup>。</li></ul> <div class="mw-heading mw-heading3"><h3 id="幾何"><span id=".E5.B9.BE.E4.BD.95"></span>幾何</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=2" title="编辑章节：幾何"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>24條邊的<a href="/wiki/%E5%A4%9A%E9%82%8A%E5%BD%A2" class="mw-redirect" title="多邊形">多邊形</a>稱為<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E9%82%8A%E5%BD%A2" title="二十四邊形">二十四邊形</a>。</li> <li>24個面的<a href="/wiki/%E5%A4%9A%E9%9D%A2%E9%AB%94" class="mw-redirect" title="多面體">多面體</a>稱為<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E9%9D%A2%E9%AB%94" title="二十四面體">二十四面體</a>。</li> <li>24個胞的多胞體稱為<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E8%83%9E%E9%AB%94" title="二十四胞體">二十四胞體</a>，特別地，在<a href="/wiki/%E5%9B%9B%E7%BB%B4%E7%A9%BA%E9%97%B4" title="四维空间">四維空間</a>中，有一種正圖形是<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E8%83%9E%E9%AB%94" title="二十四胞體">二十四胞體</a>，即<a href="/wiki/%E6%AD%A3%E4%BA%8C%E5%8D%81%E5%9B%9B%E8%83%9E%E4%BD%93" title="正二十四胞体">正二十四胞体</a>，由24個<a href="/wiki/%E6%AD%A3%E5%85%AB%E9%9D%A2%E9%AB%94" title="正八面體">正八面體</a>組成，具有24個<a href="/wiki/%E9%A0%82%E9%BB%9E_(%E5%B9%BE%E4%BD%95)" title="頂點 (幾何)">頂點</a>，是個自身對偶的多胞體，且這種形狀不存在其他維度的類比。</li> <li><a href="/wiki/%E8%B6%85%E7%AB%8B%E6%96%B9%E4%BD%93" class="mw-redirect" title="超立方体">超立方體</a>有24個<a href="/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" title="正方形">正方形</a>面</li> <li>24維空間中有24個正<a href="/wiki/%E5%81%B6%E6%95%B0" class="mw-redirect" title="偶数">偶數</a><span class="ilh-all" data-orig-title="單元網格" data-lang-code="en" data-lang-name="英语" data-foreign-title="unimodular lattices"><span class="ilh-page"><a href="/w/index.php?title=%E5%96%AE%E5%85%83%E7%B6%B2%E6%A0%BC&action=edit&redlink=1" class="new" title="單元網格（页面不存在）">單位網格</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/unimodular_lattices" class="extiw" title="en:unimodular lattices"><span lang="en" dir="auto">unimodular lattices</span></a></span>）</span></span>稱為<span class="ilh-all" data-orig-title="尼邁爾網格" data-lang-code="en" data-lang-name="英语" data-foreign-title="Niemeier lattice"><span class="ilh-page"><a href="/w/index.php?title=%E5%B0%BC%E9%82%81%E7%88%BE%E7%B6%B2%E6%A0%BC&action=edit&redlink=1" class="new" title="尼邁爾網格（页面不存在）">尼邁爾網格</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Niemeier_lattice" class="extiw" title="en:Niemeier lattice"><span lang="en" dir="auto">Niemeier lattice</span></a></span>）</span></span>。</li> <li><a href="/wiki/%E7%95%B0%E7%9B%B8%E9%9B%99%E5%9B%9B%E8%A7%92%E5%8F%B0%E5%A1%94%E6%9F%B1" class="mw-redirect" title="異相雙四角台塔柱">異相雙四角台塔柱</a>和<a href="/wiki/%E5%81%BD%E5%A4%A7%E6%96%9C%E6%96%B9%E6%88%AA%E5%8D%8A%E7%AB%8B%E6%96%B9%E9%AB%94" title="偽大斜方截半立方體">偽大斜方截半立方體</a>是有24個頂點的偽均勻多面體。</li> <li>24是四維空間的<span class="ilh-all" data-orig-title="牛頓數" data-lang-code="en" data-lang-name="英语" data-foreign-title="Kissing number"><span class="ilh-page"><a href="/w/index.php?title=%E7%89%9B%E9%A0%93%E6%95%B8&action=edit&redlink=1" class="new" title="牛頓數（页面不存在）">牛頓數</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Kissing_number" class="extiw" title="en:Kissing number"><span lang="en" dir="auto">Kissing number</span></a></span>）</span></span>：若將四維<a href="/w/index.php?title=%E8%B6%85%E7%90%83&action=edit&redlink=1" class="new" title="超球（页面不存在）">超球</a>內切入這個<a href="/wiki/%E6%AD%A3%E4%BA%8C%E5%8D%81%E5%9B%9B%E8%83%9E%E9%AB%94%E5%A0%86%E7%A0%8C" title="正二十四胞體堆砌">正二十四胞體堆砌</a>的每個超胞，則產生的結果將會是<a href="/wiki/%E5%9B%9B%E7%BB%B4%E7%A9%BA%E9%97%B4" title="四维空间">四維空間</a>中可能的正<a href="/wiki/%E8%B6%85%E7%90%83%E4%BD%93" class="mw-redirect" title="超球体">超球體</a>填充中最緊密的一種排佈<sup id="cite_ref-Musin_13-0" class="reference"><a href="#cite_note-Musin-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup>。</li> <li>24是<a href="/wiki/K3%E6%9B%B2%E9%9D%A2" title="K3曲面">K3曲面</a>的<a href="/wiki/%E6%AC%A7%E6%8B%89%E7%89%B9%E5%BE%81%E6%95%B0" class="mw-redirect" title="欧拉特征数">尤拉示性数</a>。</li></ul> <div class="mw-heading mw-heading3"><h3 id="基本运算"><span id=".E5.9F.BA.E6.9C.AC.E8.BF.90.E7.AE.97"></span>基本运算</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=3" title="编辑章节：基本运算"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th><a href="/wiki/%E4%B9%98%E6%B3%95" title="乘法">乘法</a> </th> <th>1 </th> <th>2 </th> <th>3 </th> <th>4 </th> <th>5 </th> <th>6 </th> <th>7 </th> <th>8 </th> <th>9 </th> <th>10 </th> <th width="5px"> </th> <th>11 </th> <th>12 </th> <th>13 </th> <th>14 </th> <th>15 </th> <th>16 </th> <th>17 </th> <th>18 </th> <th>19 </th> <th>20 </th> <th width="5px"> </th> <th>21 </th> <th>22 </th> <th>23 </th> <th>24 </th> <th>25 </th></tr> <tr> <th><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {{24}\times {x}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mn>24</mn> </mrow> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {{24}\times {x}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c52d667f2daf8ae3bb5e0caf5fbfef5122cde2f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.495ex; height:2.176ex;" alt="{\displaystyle {{24}\times {x}}}"></span> </th> <td><a class="mw-selflink selflink">24</a> </td> <td><a href="/wiki/48" title="48">48</a> </td> <td><a href="/wiki/72" title="72">72</a> </td> <td><a href="/wiki/96" title="96">96</a> </td> <td><a href="/wiki/120" title="120">120</a> </td> <td><a href="/wiki/144" title="144">144</a> </td> <td><a href="/wiki/168" title="168">168</a> </td> <td><a href="/wiki/192" title="192">192</a> </td> <td><a href="/wiki/216" title="216">216</a> </td> <td><a href="/wiki/240" title="240">240</a> </td> <th width="5px"> </th> <td><a href="/wiki/264" title="264">264</a> </td> <td><a href="/wiki/288" title="288">288</a> </td> <td><a href="/wiki/312" class="mw-redirect" title="312">312</a> </td> <td><a href="/wiki/336" class="mw-redirect" title="336">336</a> </td> <td><a href="/wiki/360" title="360">360</a> </td> <td><a href="/wiki/384" class="mw-redirect" title="384">384</a> </td> <td><a href="/wiki/408" class="mw-redirect" title="408">408</a> </td> <td><a href="/wiki/432" title="432">432</a> </td> <td><a href="/wiki/456" class="mw-redirect" title="456">456</a> </td> <td><a href="/wiki/480" class="mw-redirect" title="480">480</a> </td> <th width="5px"> </th> <td><a href="/wiki/504" class="mw-redirect" title="504">504</a> </td> <td><a href="/w/index.php?title=528&action=edit&redlink=1" class="new" title="528（页面不存在）">528</a> </td> <td><a href="/w/index.php?title=552&action=edit&redlink=1" class="new" title="552（页面不存在）">552</a> </td> <td><a href="/wiki/576" class="mw-redirect" title="576">576</a> </td> <td><a href="/wiki/600" title="600">600</a> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="在科学中"><span id=".E5.9C.A8.E7.A7.91.E5.AD.A6.E4.B8.AD"></span>在科学中</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=4" title="编辑章节：在科学中"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E9%89%BB" class="mw-redirect" title="鉻">鉻</a>的<a href="/wiki/%E5%8E%9F%E5%AD%90%E5%BA%8F%E6%95%B8" class="mw-redirect" title="原子序數">原子序數</a>。<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup></li> <li><a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E7%83%B7" title="二十四烷">二十四烷</a>的<a href="/wiki/%E7%A2%B3%E5%8E%9F%E5%AD%90" class="mw-redirect" title="碳原子">碳原子</a>數量。</li></ul> <div class="mw-heading mw-heading2"><h2 id="在聖經"><span id=".E5.9C.A8.E8.81.96.E7.B6.93"></span>在<a href="/wiki/%E8%81%96%E7%B6%93" title="聖經">聖經</a></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=5" title="编辑章节：在聖經"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>二十四個座位，<a href="/wiki/%E5%95%9F%E7%A4%BA%E9%8C%84" class="mw-redirect" title="啟示錄">啟示錄</a>4章</li> <li>二十四位長老，<a href="/wiki/%E5%95%9F%E7%A4%BA%E9%8C%84" class="mw-redirect" title="啟示錄">啟示錄</a>4, 5, 11及19章</li></ul> <div class="mw-heading mw-heading2"><h2 id="在人类文化中"><span id=".E5.9C.A8.E4.BA.BA.E7.B1.BB.E6.96.87.E5.8C.96.E4.B8.AD"></span>在人类文化中</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=6" title="编辑章节：在人类文化中"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>作家<a href="/wiki/%E9%83%AD%E5%B1%85%E6%95%AC" title="郭居敬">郭居敬</a>所編錄的詩選，稱為<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E5%AD%9D" title="二十四孝">二十四孝</a></li> <li>為中國古代各朝撰寫的二十四部史書的總稱，稱為<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E5%8F%B2" title="二十四史">二十四史</a></li> <li>在中国传统纪年方式中，一年中有24个特殊的日子，称为<a href="/wiki/%E8%8A%82%E6%B0%94" title="节气">24节气</a>。</li> <li>在大部分<a href="/wiki/%E5%8E%86%E6%B3%95" title="历法">历法</a>中，一日有24<a href="/wiki/%E5%B0%8F%E6%99%82" class="mw-redirect" title="小時">小時</a><sup id="cite_ref-nist_15-0" class="reference"><a href="#cite_note-nist-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup>。</li> <li>美国反恐与谍战电视剧《<a href="/wiki/24_(%E9%9B%BB%E8%A6%96%E5%8A%87)" title="24 (電視劇)">24</a>》的标题名。</li></ul> <div class="mw-heading mw-heading2"><h2 id="参考文献"><span id=".E5.8F.82.E8.80.83.E6.96.87.E7.8C.AE"></span>参考文献</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=24&action=edit&section=7" title="编辑章节：参考文献"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A002182">Sloane's A002182 : Highly composite numbers</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20190401000425/https://oeis.org/A002182">存档</a>于2019-04-01）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A002182+%3A+Highly+composite+numbers&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA002182&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A005835">Sloane's A005835 : Pseudoperfect (or semiperfect) numbers</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20210106025144/http://oeis.org/A005835">存档</a>于2021-01-06）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A005835+%3A+Pseudoperfect+%28or+semiperfect%29+numbers&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA005835&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A018253">Sloane's A018253 : Divisors of 24.</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20160616174408/https://oeis.org/A018253">存档</a>于2016-06-16）. <q>It appears that 3, 4, 6, 8, 12, 24 (the divisors >= 3 of 24) are also the only numbers n whose proper non-divisors k are prime numbers if k = d-1 and d divides n. - Omar E. Pol, Sep 23 2011</q></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A018253+%3A+Divisors+of+24.&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA018253&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A097942">Sloane's A097942 : Highly totient numbers</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20190111121437/https://oeis.org/A097942">存档</a>于2019-01-11）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A097942+%3A+Highly+totient+numbers&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA097942&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A001106">Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20201003021002/https://oeis.org/A001106">存档</a>于2020-10-03）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A001106+%3A+9-gonal+%28or+enneagonal+or+nonagonal%29+numbers&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA001106&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A005349">Sloane's A005349 : Niven (or Harshad) numbers</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20190514195807/https://oeis.org/A005349">存档</a>于2019-05-14）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A005349+%3A+Niven+%28or+Harshad%29+numbers&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA005349&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://oeis.org/A000682">Sloane's A000682 : Semimeanders</a>. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. <span class="reference-accessdate"> [<span class="nowrap">2016-05-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20201106032915/https://oeis.org/A000682">存档</a>于2020-11-06）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=Sloane%27s+A000682+%3A+Semimeanders&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft_id=https%3A%2F%2Foeis.org%2FA000682&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">Vinicius Facó, D Marques, Tribonacci Numbers and the Brocard-Ramanujan Equation, - Journal of Integer Sequences, Vol. 19, 2016, #16.4.4.</span> </li> <li id="cite_note-De_Koninck_(1998)-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-De_Koninck_(1998)_9-0">^</a></b></span> <span class="reference-text"><cite class="citation journal">De Koninck J-M, Ivić A. <a rel="nofollow" class="external text" href="http://www.emis.de/journals/PIMB/078/n078p009.pdf">On a Sum of Divisors Problem</a> <span style="font-size:85%;">(PDF)</span>. Publications de l'Institut mathématique. 1996, <b>64</b> (78): 9–20 <span class="reference-accessdate"> [<span class="nowrap">2011-04-27</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20200707124013/https://www.emis.de/journals/PIMB/078/n078p009.pdf">存档</a> <span style="font-size:85%;">(PDF)</span>于2020-07-07）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=On+a+Sum+of+Divisors+Problem&rft.date=1996&rft.genre=article&rft.issue=78&rft.jtitle=Publications+de+l%27Institut+math%C3%A9matique&rft.pages=9-20&rft.volume=64&rft_id=http%3A%2F%2Fwww.emis.de%2Fjournals%2FPIMB%2F078%2Fn078p009.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text">Patrick Tauvel, "Exercices d'algèbre générale et d'arithmétique", Dunod, 2004, exercice 70 page 368.</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text">J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 10.</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text">N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995</span> </li> <li id="cite_note-Musin-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-Musin_13-0">^</a></b></span> <span class="reference-text"><cite class="citation journal">O. R. Musin. The problem of the twenty-five spheres. Russ. Math. Surv. 2003, <b>58</b>: 794–795. <a rel="nofollow" class="external text" href="https://doi.org/10.1070%2FRM2003v058n04ABEH000651"><span title="數位物件識別號">doi:10.1070/RM2003v058n04ABEH000651</span></a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.atitle=The+problem+of+the+twenty-five+spheres&rft.au=O.+R.+Musin&rft.date=2003&rft.genre=article&rft.jtitle=Russ.+Math.+Surv.&rft.pages=794-795&rft.volume=58&rft_id=info%3Adoi%2F10.1070%2FRM2003v058n04ABEH000651&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="http://www.rsc.org/periodic-table">Royal Society of Chemistry - Visual Element Periodic Table</a>. <span class="reference-accessdate"> [<span class="nowrap">2013-01-31</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20160410112333/http://www.rsc.org/periodic-table">存档</a>于2016-04-10）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.btitle=Royal+Society+of+Chemistry+-+Visual+Element+Periodic+Table&rft.genre=unknown&rft_id=http%3A%2F%2Fwww.rsc.org%2Fperiodic-table&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-nist-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-nist_15-0">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="http://www.nist.gov/pml/general/time/early.cfm">A Walk Through Time</a>. National Institute of Standards and Technology. <span class="reference-accessdate"> [<span class="nowrap">2014-05-02</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20160802075828/http://www.nist.gov/pml/general/time/early.cfm">存档</a>于2016-08-02）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A24&rft.btitle=A+Walk+Through+Time&rft.genre=unknown&rft.pub=National+Institute+of+Standards+and+Technology&rft_id=http%3A%2F%2Fwww.nist.gov%2Fpml%2Fgeneral%2Ftime%2Fearly.cfm&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">检索自“<a dir="ltr" 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