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<div class="vector-menu-heading"> 未登录编辑者的页面 <a href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div 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-相關條目" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#相關條目"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>相關條目</span> </div> </a> <ul id="toc-相關條目-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-參考資料" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#參考資料"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>參考資料</span> </div> </a> <ul id="toc-參考資料-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-外部的連結" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#外部的連結"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>外部的連結</span> </div> </a> <ul id="toc-外部的連結-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">高合成数</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。21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-21" 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">21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-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D8%A4%D9%84%D9%81_%D9%84%D9%84%D8%BA%D8%A7%D9%8A%D8%A9" title="عدد مؤلف للغاية – 阿拉伯语" lang="ar" hreflang="ar" data-title="عدد مؤلف للغاية" 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-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Hochzusammengesetzte_Zahl" title="Hochzusammengesetzte Zahl – 德语" lang="de" hreflang="de" data-title="Hochzusammengesetzte Zahl" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Highly_composite_number" title="Highly composite number – 英语" lang="en" hreflang="en" data-title="Highly composite 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/Altkomponita_nombro" title="Altkomponita nombro – 世界语" lang="eo" hreflang="eo" data-title="Altkomponita 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/N%C3%BAmero_altamente_compuesto" title="Número altamente compuesto – 西班牙语" lang="es" hreflang="es" data-title="Número altamente compuesto" 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-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Korkeasti_yhdistetty_luku" title="Korkeasti yhdistetty luku – 芬兰语" lang="fi" hreflang="fi" data-title="Korkeasti yhdistetty 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-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_hautement_compos%C3%A9" title="Nombre hautement composé – 法语" lang="fr" hreflang="fr" data-title="Nombre hautement composé" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8_%D7%A4%D7%A8%D7%99%D7%A7_%D7%91%D7%9E%D7%99%D7%95%D7%97%D7%93" title="מספר פריק במיוחד – 希伯来语" lang="he" hreflang="he" data-title="מספר פריק במיוחד" 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-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Er%C5%91sen_%C3%B6sszetett_sz%C3%A1mok" title="Erősen összetett számok – 匈牙利语" lang="hu" hreflang="hu" data-title="Erősen összetett számok" 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-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan_komposit_tinggi" title="Bilangan komposit tinggi – 印度尼西亚语" lang="id" hreflang="id" data-title="Bilangan komposit tinggi" 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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_altamente_composto" title="Numero altamente composto – 意大利语" lang="it" hreflang="it" data-title="Numero altamente composto" 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/%E9%AB%98%E5%BA%A6%E5%90%88%E6%88%90%E6%95%B0" title="高度合成数 – 日语" lang="ja" hreflang="ja" data-title="高度合成数" 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-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Hogelijk_samengesteld_getal" title="Hogelijk samengesteld getal – 荷兰语" lang="nl" hreflang="nl" data-title="Hogelijk samengesteld 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-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_extrem_compus" title="Număr extrem compus – 罗马尼亚语" lang="ro" hreflang="ro" data-title="Număr extrem compus" 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/%D0%A1%D0%B2%D0%B5%D1%80%D1%85%D1%81%D0%BE%D1%81%D1%82%D0%B0%D0%B2%D0%BD%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Сверхсоставное число – 俄语" lang="ru" hreflang="ru" data-title="Сверхсоставное 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/Highly_composite_number" title="Highly composite number – Simple English" lang="en-simple" hreflang="en-simple" data-title="Highly composite 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/Zelo_sestavljeno_%C5%A1tevilo" title="Zelo sestavljeno število – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="Zelo sestavljeno 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-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal – 瑞典语" lang="sv" hreflang="sv" data-title="Mycket sammansatt 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-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%89%E0%AE%AF%E0%AE%B0%E0%AF%8D_%E0%AE%AA%E0%AE%95%E0%AF%81_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="உயர் பகு எண் – 泰米尔语" lang="ta" hreflang="ta" data-title="உயர் பகு எண்" data-language-autonym="தமிழ்" data-language-local-name="泰米尔语" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9D%D0%B0%D0%B4%D1%81%D0%BA%D0%BB%D0%B0%D0%B4%D0%B5%D0%BD%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Надскладене число – 乌克兰语" lang="uk" hreflang="uk" data-title="Надскладене 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-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%AB%98%E5%90%88%E6%88%90%E6%95%B8" title="高合成數 – 粤语" lang="yue" hreflang="yue" data-title="高合成數" 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 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.ambox-style{border-left-color:#fc3!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-move{border-left-color:#9932cc!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-protection{border-left-color:#a2a9b1!important}}</style><table class="box-Expand_language plainlinks metadata ambox ambox-notice" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span class="skin-invert" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Translation_to_zh_arrow.svg/50px-Translation_to_zh_arrow.svg.png" decoding="async" width="50" height="17" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Translation_to_zh_arrow.svg/75px-Translation_to_zh_arrow.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Translation_to_zh_arrow.svg/100px-Translation_to_zh_arrow.svg.png 2x" data-file-width="60" data-file-height="20" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>可参照<a href="https://en.wikipedia.org/wiki/Highly_composite_number" class="extiw" title="en:Highly composite number">英語維基百科</a>相應條目来扩充</b>。<span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2020年9月30日</span>)</i></small><span class="hide-when-compact"><br /><small>若您熟悉来源语言和主题，请协助<a href="/wiki/Wikipedia:%E7%BF%BB%E8%AF%91%E5%AE%88%E5%88%99" class="mw-redirect" title="Wikipedia:翻译守则">参考外语维基百科扩充条目</a>。请勿直接提交机械翻译，也不要翻译不可靠、低品质内容。依<a href="/wiki/Wikipedia:%E5%9C%A8%E7%BB%B4%E5%9F%BA%E7%99%BE%E7%A7%91%E5%86%85%E5%A4%8D%E5%88%B6%E5%86%85%E5%AE%B9" title="Wikipedia:在维基百科内复制内容">版权协议</a>，译文需<a href="/wiki/Wikipedia:%E7%B7%A8%E8%BC%AF%E6%91%98%E8%A6%81#翻譯文章" title="Wikipedia:編輯摘要">在编辑摘要注明来源</a>，或于讨论页顶部标记<code>{{<a href="/wiki/Template:Translated_page" title="Template:Translated page">Translated page</a>}}</code>标签。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <div id="noteTA-307af9e9" class="noteTA"><div class="noteTA-group"><div data-noteta-group-source="module" data-noteta-group="Math"></div></div></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Highly_composite_number_Cuisenaire_rods_6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Highly_composite_number_Cuisenaire_rods_6.png/75px-Highly_composite_number_Cuisenaire_rods_6.png" decoding="async" width="75" height="161" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Highly_composite_number_Cuisenaire_rods_6.png/113px-Highly_composite_number_Cuisenaire_rods_6.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Highly_composite_number_Cuisenaire_rods_6.png/150px-Highly_composite_number_Cuisenaire_rods_6.png 2x" data-file-width="292" data-file-height="628" /></a><figcaption>以<a href="/wiki/%E5%8F%A4%E6%B0%8F%E7%A7%AF%E6%9C%A8" title="古氏积木">古氏积木</a>為例，說明前四個高合成数：1, 2, 4, 6</figcaption></figure> <p><b>高合成数</b>（highly composite number）指一类<a href="/wiki/%E6%95%B4%E6%95%B8" class="mw-redirect" title="整數">整數</a>，任何比它小的<a href="/wiki/%E8%87%AA%E7%84%B6%E6%95%B0" title="自然数">自然数</a>的<a href="/wiki/%E5%9B%A0%E5%AD%90" class="mw-redirect" title="因子">因子</a>数目均比这个数的因子数目少。這個詞是由<a href="/wiki/%E6%96%AF%E9%87%8C%E5%B0%BC%E7%93%A6%E7%91%9F%C2%B7%E6%8B%89%E9%A9%AC%E5%8A%AA%E9%87%91" title="斯里尼瓦瑟·拉马努金">斯里尼瓦瑟·拉马努金</a>所創建。但是<span class="ilh-all" data-orig-title="讓-皮埃爾·卡汗" data-lang-code="en" data-lang-name="英语" data-foreign-title="Jean-Pierre Kahane"><span class="ilh-page"><a href="/w/index.php?title=%E8%AE%93-%E7%9A%AE%E5%9F%83%E7%88%BE%C2%B7%E5%8D%A1%E6%B1%97&action=edit&redlink=1" class="new" title="讓-皮埃爾·卡汗（页面不存在）">讓-皮埃爾·卡汗</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/Jean-Pierre_Kahane" class="extiw" title="en:Jean-Pierre Kahane"><span lang="en" dir="auto">Jean-Pierre Kahane</span></a></span>）</span></span>認為<a href="/wiki/%E6%9F%8F%E6%8B%89%E5%9B%BE" title="柏拉图">柏拉图</a>已有提出此一概念，柏拉图認為城市理想的人口數為<a href="/wiki/5040" title="5040">5040</a>，因為這個數的因子數量多過任何一個比小於它的數<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>。 </p><p>以數字6為例，小於6的數字中，因子最多的數是4，有3個因子（1,2,4），而6有4個因子（1,2,3,6），因此6是高合成数。 </p><p>高合成数的名稱容易讓人誤以為其中都是<a href="/wiki/%E5%90%88%E6%88%90%E6%95%B0" class="mw-redirect" title="合成数">合成数</a>，其實前二個高合成数1和2都不是合成数。 </p><p>最小的20个高合成数为： </p> <table border="0" width="cellpadding=4" cellspacing="0" style="text-align:center"> <tbody><tr bgcolor="#F0F0F0"> <td bgcolor="#FFFFFF"> </td> <td><a href="/wiki/1" title="1">1</a>, </td> <td><a href="/wiki/2" title="2">2</a>, </td> <td><a href="/wiki/4" title="4">4</a>, </td> <td><a href="/wiki/6" title="6">6</a>, </td> <td><a href="/wiki/12" title="12">12</a>, </td> <td><a href="/wiki/24" title="24">24</a>, </td> <td><a href="/wiki/36" title="36">36</a>, </td> <td><a href="/wiki/48" title="48">48</a>, </td> <td><a href="/wiki/60" title="60">60</a>, </td> <td><a href="/wiki/120" title="120">120</a>, </td> <td><a href="/wiki/180" title="180">180</a>, </td> <td>240, </td> <td>360, </td> <td>720, </td> <td>840, </td> <td>1260, </td> <td>1680, </td> <td>2520, </td> <td>5040, </td> <td>7560, </td> <td bgcolor="#FFFFFF"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/OEIS" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/14px-OEISicon_light.svg.png" decoding="async" width="14" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/21px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/28px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A002182" class="extiw" title="oeis:A002182">A002182</a></span> </td></tr> <tr> <td>正因子个数 </td> <td><i> 1,</i></td> <td><i> 2,</i></td> <td><i> 3,</i></td> <td><i> 4,</i></td> <td><i> 6,</i></td> <td><i> 8,</i></td> <td><i> 9,</i></td> <td><i>10,</i> </td> <td><i>12,</i></td> <td><i>16,</i></td> <td><i>18,</i></td> <td><i>20,</i></td> <td><i>24,</i></td> <td><i>30,</i></td> <td><i>32,</i></td> <td><i>36,</i> </td> <td><i>40,</i></td> <td><i>48,</i></td> <td><i>60,</i></td> <td><i>64,</i> </td> <td bgcolor="#FFFFFF"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/OEIS" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/14px-OEISicon_light.svg.png" decoding="async" width="14" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/21px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/28px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A002183" class="extiw" title="oeis:A002183">A002183</a></span> </td></tr></tbody></table> <p>高度合成数有无限个。為了证明这点，可用<a href="/wiki/%E5%8F%8D%E8%AF%81%E6%B3%95" class="mw-redirect" title="反证法">反证法</a>。假设<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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span>是最大的高度合成数。显然<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 2n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/134afa8ff09fdddd24b06f289e92e3a045092bd1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.557ex; height:2.176ex;" alt="{\displaystyle 2n}"></span>比<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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span>有更多因子，所以<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 2n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/134afa8ff09fdddd24b06f289e92e3a045092bd1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.557ex; height:2.176ex;" alt="{\displaystyle 2n}"></span>才是最大的高度合成数，矛盾，故高度合成数有无限个。 </p><p>大於6的高度合成數亦是<a href="/wiki/%E4%B8%B0%E6%95%B0" class="mw-redirect" title="丰数">豐數</a>。 </p><p>這些數常見於量度系統，在工程設計亦很常用，因為它們在<a href="/wiki/%E5%88%86%E6%95%B8" title="分數">分數</a>計算時很方便。 </p><p>若 <i>Q</i>(<i>x</i>)表示所有小於或等於<i>x</i>的高度合成数的数目，則存在两个均大於1的常数<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 a,b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>,</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a,b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/181523deba732fda302fd176275a0739121d3bc8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.261ex; height:2.509ex;" alt="{\displaystyle a,b}"></span>，使得∶ </p> <dl><dd><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 \ln(x)^{a}\leq Q(x)\leq \ln(x)^{b}\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msup> <mo>≤</mo> <mi>Q</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>≤</mo> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msup> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ln(x)^{a}\leq Q(x)\leq \ln(x)^{b}\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87e0a316af2a26f51957b542291c12c75dd1589b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.404ex; height:3.176ex;" alt="{\displaystyle \ln(x)^{a}\leq Q(x)\leq \ln(x)^{b}\,.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="相關條目"><span id=".E7.9B.B8.E9.97.9C.E6.A2.9D.E7.9B.AE"></span>相關條目</h2></div> <ul><li><span class="ilh-all" data-orig-title="Superior highly composite number" data-lang-code="en" data-lang-name="英语" data-foreign-title="Superior highly composite number"><span class="ilh-page"><a href="/w/index.php?title=Superior_highly_composite_number&action=edit&redlink=1" class="new" title="Superior highly composite number（页面不存在）">Superior highly composite number</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/Superior_highly_composite_number" class="extiw" title="en:Superior highly composite number"><span lang="en" dir="auto">Superior highly composite number</span></a></span>）</span></span></li> <li><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></li> <li><span class="ilh-all" data-orig-title="因數表" data-lang-code="en" data-lang-name="英语" data-foreign-title="Table of divisors"><span class="ilh-page"><a href="/w/index.php?title=%E5%9B%A0%E6%95%B8%E8%A1%A8&action=edit&redlink=1" class="new" title="因數表（页面不存在）">因數表</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/Table_of_divisors" class="extiw" title="en:Table of divisors"><span lang="en" dir="auto">Table of divisors</span></a></span>）</span></span></li> <li><a href="/wiki/%E6%AC%A7%E6%8B%89%E5%87%BD%E6%95%B0" title="欧拉函数">欧拉函数</a></li> <li><span class="ilh-all" data-orig-title="Round number" data-lang-code="en" data-lang-name="英语" data-foreign-title="Round number"><span class="ilh-page"><a href="/w/index.php?title=Round_number&action=edit&redlink=1" class="new" title="Round number（页面不存在）">Round number</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/Round_number" class="extiw" title="en:Round number"><span lang="en" dir="auto">Round number</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%85%89%E6%BB%91%E6%95%B8" title="光滑數">光滑數</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="參考資料"><span id=".E5.8F.83.E8.80.83.E8.B3.87.E6.96.99"></span>參考資料</h2></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 id="CITEREFKahane2015" class="citation">Kahane, Jean-Pierre, Bernoulli convolutions and self-similar measures after Erdős: A personal hors d'oeuvre, Notices of the American Mathematical Society, February 2015, <b>62</b> (2): 136–140</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E9%AB%98%E5%90%88%E6%88%90%E6%95%B0&rft.atitle=Bernoulli+convolutions+and+self-similar+measures+after+Erd%C5%91s%3A+A+personal+hors+d%27oeuvre&rft.aufirst=Jean-Pierre&rft.aulast=Kahane&rft.date=2015-02&rft.genre=article&rft.issue=2&rft.jtitle=Notices+of+the+American+Mathematical+Society&rft.pages=136-140&rft.volume=62&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span>. Kahane 引用柏拉图的《法律篇》 771c.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="外部的連結"><span id=".E5.A4.96.E9.83.A8.E7.9A.84.E9.80.A3.E7.B5.90"></span>外部的連結</h2></div> <ul><li><span class="citation mathworld" id="Reference-Mathworld-Highly_Composite_Number"><cite class="citation web"><a href="/wiki/%E5%9F%83%E9%87%8C%E5%85%8B%C2%B7%E9%9F%A6%E6%96%AF%E5%9D%A6%E5%9B%A0" title="埃里克·韦斯坦因">埃里克·韦斯坦因</a>. <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/HighlyCompositeNumber.html">Highly Composite Number</a>. <a href="/wiki/MathWorld" title="MathWorld">MathWorld</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E9%AB%98%E5%90%88%E6%88%90%E6%95%B0&rft.atitle=Highly+Composite+Number&rft.au=%E5%9F%83%E9%87%8C%E5%85%8B%C2%B7%E9%9F%A6%E6%96%AF%E5%9D%A6%E5%9B%A0&rft.genre=unknown&rft.jtitle=MathWorld&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FHighlyCompositeNumber.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/19980707133810/http://www.math.princeton.edu/~kkedlaya/math/hcn-algorithm.tex">Algorithm for computing Highly Composite Numbers</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/19980707133953/http://www.math.princeton.edu/~kkedlaya/math/hcn10000.txt.gz">First 10000 Highly Composite Numbers</a></li> <li><a rel="nofollow" class="external text" href="http://wwwhomes.uni-bielefeld.de/achim/highly.html">Achim Flammenkamp, First 779674 HCN with sigma,tau,factors</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20210225161304/http://wwwhomes.uni-bielefeld.de/achim/highly.html">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li> <li><a rel="nofollow" class="external text" href="http://www.javascripter.net/math/calculators/highlycompositenumbers.htm">Online Highly Composite Numbers Calculator</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20200311160354/http://www.javascripter.net/math/calculators/highlycompositenumbers.htm">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li></ul> <div class="navbox-styles"><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 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class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:Divisor_classes_navbox" title="Special:编辑页面/Template:Divisor classes navbox"><abbr title="编辑该模板">编</abbr></a></li></ul></div><div id="和因數有關的整數分類" style="font-size:110%;margin:0 5em">和因數有關的整數分類</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">簡介</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><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></li> <li><a href="/wiki/%E5%9B%A0%E6%95%B8" title="因數">因數</a></li> <li><a href="/wiki/%E5%85%83%E5%9B%A0%E6%95%B8" title="元因數">元因數</a></li> <li><a href="/wiki/%E9%99%A4%E6%95%B8%E5%87%BD%E6%95%B8" title="除數函數">除數函數</a></li> <li><a href="/wiki/%E8%B3%AA%E5%9B%A0%E6%95%B8" title="質因數">質因數</a></li> <li><a href="/wiki/%E7%AE%97%E6%9C%AF%E5%9F%BA%E6%9C%AC%E5%AE%9A%E7%90%86" title="算术基本定理">算术基本定理</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="6" style="width:1px;padding:0px 0px 0px 2px"><div><span typeof="mw:File"><a href="/wiki/File:Lattice_of_the_divisibility_of_60.svg" class="mw-file-description" title="Divisibility of 60"><img alt="Divisibility of 60" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/200px-Lattice_of_the_divisibility_of_60.svg.png" decoding="async" width="200" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/300px-Lattice_of_the_divisibility_of_60.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/400px-Lattice_of_the_divisibility_of_60.svg.png 2x" data-file-width="313" data-file-height="250" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">依因數分解分類</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E8%B4%A8%E6%95%B0" title="质数">质数</a></li> <li><a href="/wiki/%E5%90%88%E6%95%B0" title="合数">合数</a></li> <li><a href="/wiki/%E5%8D%8A%E7%B4%A0%E6%95%B0" title="半素数">半素数</a></li> <li><a href="/wiki/%E6%99%AE%E6%B4%9B%E5%B0%BC%E5%85%8B%E6%95%B0" title="普洛尼克数">普洛尼克数</a></li> <li><a href="/wiki/%E6%A5%94%E5%BD%A2%E6%95%B0" title="楔形数">楔形数</a></li> <li><a href="/wiki/%E6%97%A0%E5%B9%B3%E6%96%B9%E5%9B%A0%E5%AD%90%E6%95%B0" title="无平方因子数">无平方数因数的数</a></li> <li><a href="/wiki/%E5%86%AA%E6%95%B8" title="冪數">冪數</a></li> <li><a href="/wiki/%E8%B3%AA%E6%95%B8%E5%86%AA" title="質數冪">質數冪</a></li> <li><a href="/wiki/%E5%B9%B3%E6%96%B9%E6%95%B8" class="mw-redirect" title="平方數">平方數</a></li> <li><a href="/wiki/%E7%AB%8B%E6%96%B9%E6%95%B8" title="立方數">立方數</a></li> <li><a href="/wiki/%E6%AC%A1%E6%96%B9%E6%95%B8" title="次方數">次方數</a></li> <li><a href="/wiki/%E9%98%BF%E5%96%80%E7%90%89%E6%96%AF%E6%95%B8" title="阿喀琉斯數">阿喀琉斯數</a></li> <li><a href="/wiki/%E5%85%89%E6%BB%91%E6%95%B8" title="光滑數">光滑數</a></li> <li><a href="/wiki/%E6%AD%A3%E8%A7%84%E6%95%B0_(%E6%95%B4%E6%95%B0)" title="正规数 (整数)">正规数</a></li> <li><a href="/wiki/%E7%B2%97%E7%B3%99%E6%95%B8" title="粗糙數">粗糙數</a></li> <li><a href="/wiki/%E4%B8%8D%E5%B0%8B%E5%B8%B8%E6%95%B8" title="不尋常數">不尋常數</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">依因數和分類</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E5%AE%8C%E5%85%A8%E6%95%B0" title="完全数">完全数</a></li> <li><a href="/wiki/%E6%AE%86%E5%AE%8C%E5%85%A8%E6%95%B8" title="殆完全數">殆完全數</a></li> <li><a href="/wiki/%E5%87%86%E5%AE%8C%E5%85%A8%E6%95%B0" title="准完全数">准完全数</a></li> <li><a href="/wiki/%E5%A4%9A%E9%87%8D%E5%AE%8C%E5%85%A8%E6%95%B8" title="多重完全數">多重完全數</a></li> <li><a href="/wiki/Hemiperfect%E6%95%B8" title="Hemiperfect數">Hemiperfect數</a></li> <li><span class="ilh-all" data-orig-title="Hyperperfect number" data-lang-code="en" data-lang-name="英语" data-foreign-title="Hyperperfect number"><span class="ilh-page"><a href="/w/index.php?title=Hyperperfect_number&action=edit&redlink=1" class="new" title="Hyperperfect number（页面不存在）">Hyperperfect number</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/Hyperperfect_number" class="extiw" title="en:Hyperperfect number"><span lang="en" dir="auto">Hyperperfect number</span></a></span>）</span></span></li> <li><a href="/wiki/%E8%B6%85%E5%AE%8C%E5%85%A8%E6%95%B8" title="超完全數">超完全數</a></li> <li><a href="/wiki/%E5%85%83%E5%AE%8C%E5%85%A8%E6%95%B8" title="元完全數">元完全數</a></li> <li><a href="/wiki/%E5%8D%8A%E5%AE%8C%E5%85%A8%E6%95%B0" title="半完全数">半完全数</a></li> <li><a href="/wiki/%E6%9C%AC%E5%8E%9F%E5%8D%8A%E5%AE%8C%E5%85%A8%E6%95%B0" title="本原半完全数">本原半完全数</a></li> <li><a href="/wiki/%E5%AF%A6%E9%9A%9B%E6%95%B8" title="實際數">實際數</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">有許多因數</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E8%BF%87%E5%89%A9%E6%95%B0" title="过剩数">过剩数</a></li> <li><a href="/wiki/%E6%9C%AC%E5%8E%9F%E9%81%8E%E5%89%A9%E6%95%B8" title="本原過剩數">本原過剩數</a></li> <li><a href="/wiki/%E9%AB%98%E9%81%8E%E5%89%A9%E6%95%B8" title="高過剩數">高過剩數</a></li> <li><a href="/wiki/%E8%B6%85%E9%81%8E%E5%89%A9%E6%95%B8" title="超過剩數">超過剩數</a></li> <li><a href="/wiki/%E5%8F%AF%E7%BE%85%E8%96%A9%E9%87%8C%E9%81%8E%E5%89%A9%E6%95%B8" title="可羅薩里過剩數">可羅薩里過剩數</a></li> <li><a class="mw-selflink selflink">高合成数</a></li> <li><span class="ilh-all" data-orig-title="Superior highly composite number" data-lang-code="en" data-lang-name="英语" data-foreign-title="Superior highly composite number"><span class="ilh-page"><a href="/w/index.php?title=Superior_highly_composite_number&action=edit&redlink=1" class="new" title="Superior highly composite number（页面不存在）">Superior highly composite number</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/Superior_highly_composite_number" class="extiw" title="en:Superior highly composite number"><span lang="en" dir="auto">Superior highly composite number</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%A5%87%E7%95%B0%E6%95%B8_(%E6%95%B8%E8%AB%96)" title="奇異數 (數論)">奇異數</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">和<a href="/wiki/%E7%9C%9F%E5%9B%A0%E5%AD%90%E5%92%8C%E6%95%B8%E5%88%97" title="真因子和數列">真因子和數列</a>有關</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E4%B8%8D%E5%8F%AF%E5%8F%8A%E6%95%B0" title="不可及数">不可及数</a></li> <li><a href="/wiki/%E7%9B%B8%E4%BA%B2%E6%95%B0" title="相亲数">相亲数</a></li> <li><a href="/wiki/%E7%9B%B8%E4%BA%B2%E6%95%B0%E9%93%BE" title="相亲数链">交際數</a></li> <li><a href="/wiki/%E5%A9%9A%E7%B4%84%E6%95%B8" title="婚約數">婚約數</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">其他</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E4%BA%8F%E6%95%B0" title="亏数">亏数</a></li> <li><a href="/wiki/%E5%8F%8B%E8%AA%BC%E6%95%B8" title="友誼數">友誼數</a></li> <li><a href="/wiki/%E5%8F%8B%E8%AA%BC%E6%95%B8" title="友誼數">孤獨數</a></li> <li><a href="/wiki/%E5%8D%93%E8%B6%8A%E6%95%B0" title="卓越数">卓越数</a></li> <li><a href="/wiki/%E6%AD%90%E7%88%BE%E8%AA%BF%E5%92%8C%E6%95%B8" title="歐爾調和數">歐爾調和數</a></li> <li><a href="/wiki/%E4%BD%A9%E6%9C%8D%E6%95%B8" title="佩服數">佩服數</a></li> <li><a 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