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Unitär delare – Wikipedia
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<meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Unitär delare – Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//sv.m.wikipedia.org/wiki/Unit%C3%A4r_delare"> <link rel="alternate" type="application/x-wiki" title="Redigera" href="/w/index.php?title=Unit%C3%A4r_delare&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (sv)"> <link rel="EditURI" type="application/rsd+xml" href="//sv.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://sv.wikipedia.org/wiki/Unit%C3%A4r_delare"> <link rel="license" 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[o]" accesskey="o" class=""><span>Logga in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Fler alternativ" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personliga verktyg" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personliga verktyg</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Användarmeny" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv"><span>Stöd Wikipedia</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Skapa_konto&returnto=Unit%C3%A4r+delare" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Skapa konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Inloggning&returnto=Unit%C3%A4r+delare" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logga in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Sidor för utloggade redigerare <a href="/wiki/Hj%C3%A4lp:Introduktion" aria-label="Läs mer om redigering"><span>läs mer</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:Mina_bidrag" title="En lista över redigeringar från denna IP-adress [y]" accesskey="y"><span>Bidrag</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:Min_diskussion" title="Diskussion om redigeringar från det här IP-numret [n]" accesskey="n"><span>Diskussion</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"><!-- CentralNotice --></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="Webbplats"> <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="Innehåll" 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">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</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">Inledning</div> </a> </li> <li id="toc-Egenskaper" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Egenskaper"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Egenskaper</span> </div> </a> <ul id="toc-Egenskaper-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Udda_unitära_delare" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Udda_unitära_delare"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Udda unitära delare</span> </div> </a> <ul id="toc-Udda_unitära_delare-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Biunitär_delare" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Biunitär_delare"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Biunitär delare</span> </div> </a> <ul id="toc-Biunitär_delare-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referenser" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referenser"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Referenser</span> </div> </a> <button aria-controls="toc-Referenser-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>Växla underavsnittet Referenser</span> </button> <ul id="toc-Referenser-sublist" class="vector-toc-list"> <li id="toc-Fotnoter" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fotnoter"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Fotnoter</span> </div> </a> <ul id="toc-Fotnoter-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tryckta_källor" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Tryckta_källor"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Tryckta källor</span> </div> </a> <ul id="toc-Tryckta_källor-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Externa_länkar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Externa_länkar"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Externa länkar</span> </div> </a> <button aria-controls="toc-Externa_länkar-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>Växla underavsnittet Externa länkar</span> </button> <ul id="toc-Externa_länkar-sublist" class="vector-toc-list"> <li id="toc-OEIS-talföljder" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#OEIS-talföljder"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>OEIS-talföljder</span> </div> </a> <ul id="toc-OEIS-talföljder-sublist" class="vector-toc-list"> </ul> </li> </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="Innehåll" 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="Växla innehållsförteckningen" > <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">Växla innehållsförteckningen</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">Unitär delare</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="Gå till en artikel på ett annat språk. Tillgänglig på 7 språk" > <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-7" 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">7 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Unitary_divisor" title="Unitary divisor – engelska" lang="en" hreflang="en" data-title="Unitary divisor" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Divisor_unitario" title="Divisor unitario – spanska" lang="es" hreflang="es" data-title="Divisor unitario" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Diviseur_unitaire" title="Diviseur unitaire – franska" lang="fr" hreflang="fr" data-title="Diviseur unitaire" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%A0%EB%8B%88%ED%83%80%EB%A6%AC_%EC%95%BD%EC%88%98" title="유니타리 약수 – koreanska" lang="ko" hreflang="ko" data-title="유니타리 약수" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8D%98%E7%B4%84%E6%95%B0" title="単約数 – japanska" lang="ja" hreflang="ja" data-title="単約数" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%B2%E0%AE%95%E0%AF%81%E0%AE%A8%E0%AE%BF%E0%AE%B2%E0%AF%88_%E0%AE%B5%E0%AE%95%E0%AF%81%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="அலகுநிலை வகுஎண் – tamil" lang="ta" hreflang="ta" data-title="அலகுநிலை வகுஎண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%85%83%E5%9B%A0%E6%95%B8" title="元因數 – kinesiska" lang="zh" hreflang="zh" data-title="元因數" data-language-autonym="中文" data-language-local-name="kinesiska" 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accesskey="g"><span>Wikidata-objekt</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="Sidverktyg"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utseende"> <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">Utseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</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> <div id="siteSub" class="noprint">Från Wikipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sv" dir="ltr"><p>Inom <a href="/wiki/Matematik" title="Matematik">matematiken</a> är ett <a href="/wiki/Naturliga_tal" title="Naturliga tal">naturligt tal</a> <i>a</i> <b>unitär delare</b> av ett tal <i>b</i> om <i>a</i> är en <a href="/wiki/Delbarhet" title="Delbarhet">delare</a> av <i>b</i> och om <i>a</i> och <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 {\frac {b}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {b}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30304b82a801ef33eaf4c0c0306aa6966e83d2f3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:2.066ex; height:5.343ex;" alt="{\displaystyle {\frac {b}{a}}}"></span> är <a href="/wiki/Relativt_prima" title="Relativt prima">relativt prima</a>. Sålunda är 5 en unitär delare av 60, eftersom 5 och <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 {\frac {60}{5}}=12}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>60</mn> <mn>5</mn> </mfrac> </mrow> <mo>=</mo> <mn>12</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {60}{5}}=12}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78b79e279ff48e56fec8cf3a350b6bd610ed1174" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.584ex; height:5.176ex;" alt="{\displaystyle {\frac {60}{5}}=12}"></span> endast har 1 som en gemensam faktor, medan 6 är en delare men inte en unitär delare av 60, eftersom 6 och <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 {\frac {60}{6}}=10}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>60</mn> <mn>6</mn> </mfrac> </mrow> <mo>=</mo> <mn>10</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {60}{6}}=10}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13b1bf6fd91928879e27ca180aa72155ccd2e1ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.584ex; height:5.176ex;" alt="{\displaystyle {\frac {60}{6}}=10}"></span> har en gemensam faktor utöver 1, nämligen 2. 1 är en unitär delare av alla naturliga tal. </p><p>Ekvivalent, en given delare <i>a</i> av <i>b</i> är en unitär delare <a href="/wiki/Om_och_endast_om" title="Om och endast om">om och endast om</a> varje primtalsfaktor för <i>a</i> har samma <a href="/wiki/Multiplicitet" title="Multiplicitet">multiplicitet</a> i <i>a</i> som i <i>b</i>. </p><p>Summan av den unitära delarfunktionen betecknas med den gemena grekiska bokstaven sigma sålunda: σ*(<i>n</i>). Summan av den <i>k</i>:te potensen av de unitära delarna betecknas med σ*<sub>k</sub>(<i>n</i>): </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 \sigma _{k}^{*}(n)=\sum _{d\mid n \atop \gcd(d,n/d)=1}\!\!d^{k}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>∗<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow> <mi>d</mi> <mo>∣<!-- ∣ --></mo> <mi>n</mi> </mrow> <mrow> <mo movablelimits="true" form="prefix">gcd</mo> <mo stretchy="false">(</mo> <mi>d</mi> <mo>,</mo> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </munder> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{k}^{*}(n)=\sum _{d\mid n \atop \gcd(d,n/d)=1}\!\!d^{k}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d319d48ef4dba2fdf417acb870c66789c510eb6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.005ex; width:19.824ex; height:7.509ex;" alt="{\displaystyle \sigma _{k}^{*}(n)=\sum _{d\mid n \atop \gcd(d,n/d)=1}\!\!d^{k}.}"></span></dd></dl> <p>Om de äkta de unitära delarna till ett givet tal adderar fram till detta tal, så är det ett <a href="/wiki/Unit%C3%A4rt_perfekt_tal" title="Unitärt perfekt tal">unitärt perfekt tal</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Egenskaper">Egenskaper</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=1" title="Redigera avsnitt: Egenskaper" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=1" title="Redigera avsnitts källkod: Egenskaper"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Antalet unitära delare av ett tal <i>n</i> är 2<sup><i>k</i></sup>, där <i>k</i> är antalet distinkta primtalsfaktorer av <i>n</i>. Summan av de unitära delarna till <i>n</i> är udda om <i>n</i> är en potens av 2 (inklusive 1), och även annars. </p><p>Summan av de unitära delarna till <i>n</i> är en <a href="/wiki/Multiplikativ_funktion" title="Multiplikativ funktion">multiplikativ funktion</a> av <i>n</i>, men inte komplett multiplikativ. <a href="/w/index.php?title=Dirichlets_genererade_funktion&action=edit&redlink=1" class="new" title="Dirichlets genererade funktion [inte skriven än]">Dirichlets genererade funktion</a> är </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 {\frac {\zeta (s)\zeta (s-k)}{\zeta (2s-k)}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{*}(n)}{n^{s}}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>ζ<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mi>ζ<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>ζ<!-- ζ --></mi> <mo stretchy="false">(</mo> <mn>2</mn> <mi>s</mi> <mo>−<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>≥<!-- ≥ --></mo> <mn>1</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msubsup> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>∗<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msup> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\zeta (s)\zeta (s-k)}{\zeta (2s-k)}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{*}(n)}{n^{s}}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/826d821ed5b240948d4c532a51d2351515f24ac4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:26.821ex; height:7.176ex;" alt="{\displaystyle {\frac {\zeta (s)\zeta (s-k)}{\zeta (2s-k)}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{*}(n)}{n^{s}}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Udda_unitära_delare"><span id="Udda_unit.C3.A4ra_delare"></span>Udda unitära delare</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=2" title="Redigera avsnitt: Udda unitära delare" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=2" title="Redigera avsnitts källkod: Udda unitära delare"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Summan av de <i>k</i>:te potenserna av udda unitära delare är </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 \sigma _{k}^{(o)*}(n)=\sum _{{d\mid n \atop d\equiv 1{\pmod {2}}} \atop \gcd(d,n/d)=1}\!\!d^{k}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>o</mi> <mo stretchy="false">)</mo> <mo>∗<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow> <mi>d</mi> <mo>∣<!-- ∣ --></mo> <mi>n</mi> </mrow> <mrow> <mi>d</mi> <mo>≡<!-- ≡ --></mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0.444em" /> <mo stretchy="false">(</mo> <mi>mod</mi> <mspace width="0.333em" /> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </mfrac> </mrow> <mrow> <mo movablelimits="true" form="prefix">gcd</mo> <mo stretchy="false">(</mo> <mi>d</mi> <mo>,</mo> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </munder> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{k}^{(o)*}(n)=\sum _{{d\mid n \atop d\equiv 1{\pmod {2}}} \atop \gcd(d,n/d)=1}\!\!d^{k}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/98f0d3f015b0691f2f8438643c1c95e0cfa33cda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.838ex; width:22.74ex; height:9.509ex;" alt="{\displaystyle \sigma _{k}^{(o)*}(n)=\sum _{{d\mid n \atop d\equiv 1{\pmod {2}}} \atop \gcd(d,n/d)=1}\!\!d^{k}.}"></span></dd></dl> <p>Det är också multiplikativt, med Dirichlets genererade funktion </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 {\frac {\zeta (s)\zeta (s-k)(1-2^{k-s})}{\zeta (2s-k)(1-2^{k-2s})}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{(o)*}(n)}{n^{s}}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>ζ<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mi>ζ<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−<!-- − --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>−<!-- − --></mo> <mi>s</mi> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>ζ<!-- ζ --></mi> <mo stretchy="false">(</mo> <mn>2</mn> <mi>s</mi> <mo>−<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−<!-- − --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>−<!-- − --></mo> <mn>2</mn> <mi>s</mi> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <munder> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>≥<!-- ≥ --></mo> <mn>1</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msubsup> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>o</mi> <mo stretchy="false">)</mo> <mo>∗<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msup> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\zeta (s)\zeta (s-k)(1-2^{k-s})}{\zeta (2s-k)(1-2^{k-2s})}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{(o)*}(n)}{n^{s}}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3158718c72fb576fce209dabf36ee61f632ccec8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:38.979ex; height:7.843ex;" alt="{\displaystyle {\frac {\zeta (s)\zeta (s-k)(1-2^{k-s})}{\zeta (2s-k)(1-2^{k-2s})}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{(o)*}(n)}{n^{s}}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Biunitär_delare"><span id="Biunit.C3.A4r_delare"></span>Biunitär delare</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=3" title="Redigera avsnitt: Biunitär delare" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=3" title="Redigera avsnitts källkod: Biunitär delare"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En delare <i>d</i> av <i>n</i> är en <a href="/w/index.php?title=Biunit%C3%A4r_delare&action=edit&redlink=1" class="new" title="Biunitär delare [inte skriven än]">biunitär delare</a> om den största gemensamma den unitära delaren <i>d</i> och <i>n</i>/<i>d</i>. Antalet biunitära delare till <i>n</i> är en multiplikativ funktion av <i>n</i> med genomsnittlig ordning <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\log x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mi>log</mi> <mo>⁡<!-- --></mo> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\log x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/669ea594d307d036a45cad21847d760224399e9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.819ex; height:2.509ex;" alt="{\displaystyle A\log x}"></span> där<sup id="cite_ref-Ivic395_1-0" class="reference"><a href="#cite_note-Ivic395-1"><span class="cite-reference-link-bracket">[</span>1<span class="cite-reference-link-bracket">]</span></a></sup> </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 A=\prod _{p}\left({1-{\frac {p-1}{p^{2}(p+1)}}}\right)\ .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <munder> <mo>∏<!-- ∏ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </munder> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mo>−<!-- − --></mo> <mn>1</mn> </mrow> <mrow> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mtext> </mtext> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=\prod _{p}\left({1-{\frac {p-1}{p^{2}(p+1)}}}\right)\ .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6dd9b97fb7f7bec756b5b76e0ae95dadde5edcb7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:27.278ex; height:6.843ex;" alt="{\displaystyle A=\prod _{p}\left({1-{\frac {p-1}{p^{2}(p+1)}}}\right)\ .}"></span></dd></dl> <p>Ett <a href="/w/index.php?title=Biunit%C3%A4rt_perfekt_tal&action=edit&redlink=1" class="new" title="Biunitärt perfekt tal [inte skriven än]">biunitärt perfekt tal</a> är 1 lika med summan av dess biunitära alikvota delare. De enda biunitära perfekta talen är 6, 60 och 90.<sup id="cite_ref-HNTI115_2-0" class="reference"><a href="#cite_note-HNTI115-2"><span class="cite-reference-link-bracket">[</span>2<span class="cite-reference-link-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Referenser">Referenser</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=4" title="Redigera avsnitt: Referenser" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=4" title="Redigera avsnitts källkod: Referenser"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li></ul> <dl><dd><span class="plainlinks"><i>Den här artikeln är helt eller delvis baserad på material från <a href="/wiki/Engelskspr%C3%A5kiga_Wikipedia" title="Engelskspråkiga Wikipedia">engelskspråkiga Wikipedia</a>, <a class="external text" href="https://en.wikipedia.org/wiki/Unitary_divisor">Unitary divisor</a>, <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Unitary_divisor&oldid=568257495">9 oktober 2013</a>.</i></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Fotnoter">Fotnoter</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=5" title="Redigera avsnitt: Fotnoter" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=5" title="Redigera avsnitts källkod: Fotnoter"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-Ivic395-1"><a href="#cite_ref-Ivic395_1-0">^</a> <span class="reference-text">Ivić (1985) p.395</span> </li> <li id="cite_note-HNTI115-2"><a href="#cite_ref-HNTI115_2-0">^</a> <span class="reference-text">Sandor et al (2006) p.115</span> </li> </ol></div> <div class="mw-heading mw-heading3"><h3 id="Tryckta_källor"><span id="Tryckta_k.C3.A4llor"></span>Tryckta källor</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=6" title="Redigera avsnitt: Tryckta källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=6" title="Redigera avsnitts källkod: Tryckta källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite style="font-style:normal" class="book" id="CITEREFRichard_K._Guy2004"><a href="/w/index.php?title=Richard_K._Guy&action=edit&redlink=1" class="new" title="Richard K. Guy [inte skriven än]">Richard K. Guy</a> (2004). <i><span>Unsolved Problems in Number Theory</span></i>. <a href="/wiki/Springer-Verlag" class="mw-redirect" title="Springer-Verlag">Springer-Verlag</a>. sid. 84. <a href="/wiki/Special:Bokk%C3%A4llor/0-387-20860-7" title="Special:Bokkällor/0-387-20860-7">ISBN 0-387-20860-7</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Unsolved+Problems+in+Number+Theory&rft.aulast=Richard+K.+Guy&rft.au=Richard+K.+Guy&rft.date=2004&rft.pages=sid.%26nbsp%3B84&rft.pub=%5B%5BSpringer-Verlag%5D%5D&rft.isbn=0-387-20860-7&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span> Section B3.</li> <li><cite style="font-style:normal" class="book" id="CITEREFPaulo_Ribenboim2000"><a href="/w/index.php?title=Paulo_Ribenboim&action=edit&redlink=1" class="new" title="Paulo Ribenboim [inte skriven än]">Paulo Ribenboim</a> (2000). <i><span>My Numbers, My Friends: Popular Lectures on Number Theory</span></i>. Springer-Verlag. sid. 352. <a href="/wiki/Special:Bokk%C3%A4llor/0-387-98911-0" title="Special:Bokkällor/0-387-98911-0">ISBN 0-387-98911-0</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=My+Numbers%2C+My+Friends%3A+Popular+Lectures+on+Number+Theory&rft.aulast=Paulo+Ribenboim&rft.au=Paulo+Ribenboim&rft.date=2000&rft.pages=sid.%26nbsp%3B352&rft.pub=Springer-Verlag&rft.isbn=0-387-98911-0&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1959">Cohen, Eckford (22 november 1959). ”A class of residue systems (mod r) and related arithmetical functions. I. A generalization of Möbius inversion”. <i>Pacific J. Math.</i> "9": ss. 13–23.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+class+of+residue+systems+%28mod+r%29+and+related+arithmetical+functions.+I.+A+generalization+of+M%C3%B6bius+inversion&rft.jtitle=Pacific+J.+Math.&rft.aulast=Cohen&rft.aufirst=Eckford&rft.au=Cohen%2C+Eckford&rft.date=22+november+1959&rft.volume=%229%22&rft.pages=ss.%26nbsp%3B13%E2%80%9323&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1960">Cohen, Eckford (22 november 1960). ”Arithmetical functions associated with the unitary divisors of an integer”. <i><a href="/w/index.php?title=Mathematische_Zeitschrift&action=edit&redlink=1" class="new" title="Mathematische Zeitschrift [inte skriven än]">Mathematische Zeitschrift</a></i> "74": ss. 66–80. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007%2FBF01180473">10.1007/BF01180473</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Arithmetical+functions+associated+with+the+unitary+divisors+of+an+integer&rft.jtitle=%5B%5BMathematische+Zeitschrift%5D%5D&rft.aulast=Cohen&rft.aufirst=Eckford&rft.au=Cohen%2C+Eckford&rft.date=22+november+1960&rft.volume=%2274%22&rft.pages=ss.%26nbsp%3B66%E2%80%9380&rft_id=info:doi/10.1007%2FBF01180473&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1960">Cohen, Eckford (22 november 1960). ”The number of unitary divisors of an integer”. <i><a href="/w/index.php?title=American_mathematical_monthly&action=edit&redlink=1" class="new" title="American mathematical monthly [inte skriven än]">American mathematical monthly</a></i> "67": ss. 879–880.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+number+of+unitary+divisors+of+an+integer&rft.jtitle=%5B%5BAmerican+mathematical+monthly%5D%5D&rft.aulast=Cohen&rft.aufirst=Eckford&rft.au=Cohen%2C+Eckford&rft.date=22+november+1960&rft.volume=%2267%22&rft.pages=ss.%26nbsp%3B879%E2%80%93880&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1990">Cohen, Graeme L. (22 november 1990). ”On an integers' infinitary divisors”. <i>Math. Comp.</i> "54": ss. 395–411. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1090%2FS0025-5718-1990-0993927-5">10.1090/S0025-5718-1990-0993927-5</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+an+integers%27+infinitary+divisors&rft.jtitle=Math.+Comp.&rft.aulast=Cohen&rft.aufirst=Graeme+L.&rft.au=Cohen%2C+Graeme+L.&rft.date=22+november+1990&rft.volume=%2254%22&rft.pages=ss.%26nbsp%3B395%E2%80%93411&rft_id=info:doi/10.1090%2FS0025-5718-1990-0993927-5&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1993">Cohen, Graeme L. (22 november 1993). ”Arithmetic functions associated with infinitary divisors of an integer”. <i>Intl. J. Math. Math. Sci.</i> "16": ss. 373–383. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1155%2FS0161171293000456">10.1155/S0161171293000456</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Arithmetic+functions+associated+with+infinitary+divisors+of+an+integer&rft.jtitle=Intl.+J.+Math.+Math.+Sci.&rft.aulast=Cohen&rft.aufirst=Graeme+L.&rft.au=Cohen%2C+Graeme+L.&rft.date=22+november+1993&rft.volume=%2216%22&rft.pages=ss.%26nbsp%3B373%E2%80%93383&rft_id=info:doi/10.1155%2FS0161171293000456&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="web" id="CITEREFFinch2004">Finch, Steven (2004). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060901011841/http://algo.inria.fr/csolve/try.pdf">”Unitarism and Infinitarism”</a>. Arkiverad från <a rel="nofollow" class="external text" href="http://algo.inria.fr/csolve/try.pdf">originalet</a> den 1 september 2006<span class="printonly">. <a rel="nofollow" class="external free" href="https://web.archive.org/web/20060901011841/http://algo.inria.fr/csolve/try.pdf">https://web.archive.org/web/20060901011841/http://algo.inria.fr/csolve/try.pdf</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=Unitarism+and+Infinitarism&rft.atitle=&rft.aulast=Finch&rft.aufirst=Steven&rft.au=Finch%2C+Steven&rft.date=2004&rft_id=https%3A%2F%2Fweb.archive.org%2Fweb%2F20060901011841%2Fhttp%3A%2F%2Falgo.inria.fr%2Fcsolve%2Ftry.pdf&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="book" id="CITEREFIvić1985">Ivić, Aleksandar (1985). <i><span>The Riemann zeta-function. The theory of the Riemann zeta-function with applications</span></i>. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. sid. 395. <a href="/wiki/Special:Bokk%C3%A4llor/0-471-80634-X" title="Special:Bokkällor/0-471-80634-X">ISBN 0-471-80634-X</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Riemann+zeta-function.+The+theory+of+the+Riemann+zeta-function+with+applications&rft.aulast=Ivi%C4%87&rft.aufirst=Aleksandar&rft.au=Ivi%C4%87%2C+Aleksandar&rft.date=1985&rft.series=A+Wiley-Interscience+Publication&rft.pages=sid.%26nbsp%3B395&rft.place=New+York+etc.&rft.pub=John+Wiley+%26+Sons&rft.isbn=0-471-80634-X&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="book" id="CITEREFSándorMitrinovićCrstici2006">Sándor, József; Mitrinović, Dragoslav S.; Crstici, Borislav, reds (2006). <i><span>Handbook of number theory I</span></i>. Dordrecht: <a href="/wiki/Springer-Verlag" class="mw-redirect" title="Springer-Verlag">Springer-Verlag</a>. <a href="/wiki/Special:Bokk%C3%A4llor/1-4020-4215-9" title="Special:Bokkällor/1-4020-4215-9">ISBN 1-4020-4215-9</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Handbook+of+number+theory+I&rft.date=2006&rft.place=Dordrecht&rft.pub=%5B%5BSpringer-Verlag%5D%5D&rft.isbn=1-4020-4215-9&rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;"> </span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Externa_länkar"><span id="Externa_l.C3.A4nkar"></span>Externa länkar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=7" title="Redigera avsnitt: Externa länkar" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=7" title="Redigera avsnitts källkod: Externa länkar"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Eric_W._Weisstein" title="Eric W. Weisstein">Weisstein, Eric W.</a>, "<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/UnitaryDivisor.html">Unitary Divisor</a>", <i><a href="/wiki/MathWorld" class="mw-redirect" title="MathWorld">MathWorld</a></i>.</li></ul> <div class="mw-heading mw-heading3"><h3 id="OEIS-talföljder"><span id="OEIS-talf.C3.B6ljder"></span><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>-talföljder</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&veaction=edit&section=8" title="Redigera avsnitt: OEIS-talföljder" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&action=edit&section=8" title="Redigera avsnitts källkod: OEIS-talföljder"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A034444" class="extiw" title="oeis:A034444">A034444</a></span>: σ<sub>0</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A034448" class="extiw" title="oeis:A034448">A034448</a></span>: σ<sub>1</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A034676" class="extiw" title="oeis:A034676">A034676</a></span> till <span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A034682" class="extiw" title="oeis:A034682">A034682</a></span>: σ<sub>2</sub>(<i>n</i>) till σ<sub>8</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A068068" class="extiw" title="oeis:A068068">A068068</a></span>: σ<sup>(o)*</sup><sub>0</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A192066" class="extiw" title="oeis:A192066">A192066</a></span>: σ<sup>(o)*</sup><sub>1</sub>(<i>n</i>)</li></ul> <style data-mw-deduplicate="TemplateStyles:r56287950">.mw-parser-output table.navbox{border:#aaa 1px solid;width:100%;margin:auto;margin-top:1em;clear:both;font-size:88%;text-align:center;padding:1px}.mw-parser-output link+table.navbox{margin-top:-1px}.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow,.mw-parser-output table.navbox th{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-thlinkcolor .navbox-title button,.mw-parser-output .navbox-thlinkcolor .navbox-title .mw-collapsible-text,.mw-parser-output .navbox-thlinkcolor .navbox-title 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style="width:100%;border-spacing:0;background:transparent;color:inherit;;"><tbody><tr><th style=";" colspan="3" class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:Delbarhetsklasser" title="Mall:Delbarhetsklasser"><span title="Visa denna mall" style="border:none;;">v</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:Delbarhetsklasser&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;">Delbarhetsbaserade heltalsmängder</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;">Översikt</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Primtalsfaktorisering" title="Primtalsfaktorisering">Primtalsfaktorisering</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Delbarhet" title="Delbarhet">Delbarhet</a><span style="font-weight:bold;"> · </span> <a class="mw-selflink selflink">Unitär delare</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sigmafunktionen" title="Sigmafunktionen">Sigmafunktionen</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primtalsfaktor" title="Primtalsfaktor">Primtalsfaktor</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Aritmetikens_fundamentalsats" title="Aritmetikens fundamentalsats">Aritmetikens fundamentalsats</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Aritmetiskt_tal" title="Aritmetiskt tal">Aritmetiskt tal</a></div></td><td style="width:0%;padding:0px 0px 0px 2px;" rowspan="11"><span typeof="mw:File"><a href="/wiki/Fil:Lattice_of_the_divisibility_of_60.svg" class="mw-file-description" title="Delbarheten av 60"><img alt="Delbarheten av 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></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Faktoriserade former</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Primtal" title="Primtal">Primtal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sammansatt_tal" title="Sammansatt tal">Sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Semiprimtal" title="Semiprimtal">Semiprimtal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sfeniskt_tal" title="Sfeniskt tal">Sfeniskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadratfritt_tal" title="Kvadratfritt tal">Kvadratfritt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Potensrikt_tal&action=edit&redlink=1" class="new" title="Potensrikt tal [inte skriven än]">Potensrikt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Perfekt_potens" title="Perfekt potens">Perfekt potens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Akillestal" title="Akillestal">Akilles</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Sl%C3%A4tt_tal&action=edit&redlink=1" class="new" title="Slätt tal [inte skriven än]">Slätt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Regelbundet_tal&action=edit&redlink=1" class="new" title="Regelbundet tal [inte skriven än]">Regelbundet</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Grovt_tal&action=edit&redlink=1" class="new" title="Grovt tal [inte skriven än]">Grovt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Extraordin%C3%A4rt_tal" title="Extraordinärt tal">Extraordinärt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Begränsade <a href="/wiki/Delarsumma" title="Delarsumma">delarsummor</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Perfekt_tal" title="Perfekt tal">Perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/N%C3%A4stan-perfekt_tal" title="Nästan-perfekt tal">Nästan-perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiperfekt_tal" title="Kvasiperfekt tal">Kvasiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Multiperfekt_tal" title="Multiperfekt tal">Multiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hemiperfekt_tal" title="Hemiperfekt tal">Hemiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hyperperfekt_tal" title="Hyperperfekt tal">Hyperperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superperfekt_tal" title="Superperfekt tal">Superperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Unit%C3%A4rt_perfekt_tal" title="Unitärt perfekt tal">Unitärt perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Semiperfekt_tal" title="Semiperfekt tal">Semiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Praktiskt_tal" title="Praktiskt tal">Praktiskt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Erd%C5%91s%E2%80%93Nicolas-tal&action=edit&redlink=1" class="new" title="Erdős–Nicolas-tal [inte skriven än]">Erdős–Nicolas</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Med många delare</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Ymnigt_tal" title="Ymnigt tal">Ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primitivt_ymnigt_tal" title="Primitivt ymnigt tal">Primitivt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_ymnigt_tal" title="Mycket ymnigt tal">Mycket ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superymnigt_tal" title="Superymnigt tal">Superymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kolossalt_ymnigt_tal" title="Kolossalt ymnigt tal">Kolossalt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal">Mycket sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_h%C3%B6gt_sammansatt_tal" title="Mycket högt sammansatt tal">Mycket högt sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Supernaturligt_tal&action=edit&redlink=1" class="new" title="Supernaturligt tal [inte skriven än]">Supernaturligt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/%C3%96vernaturligt_tal" title="Övernaturligt tal">Övernaturligt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/w/index.php?title=Alikvotf%C3%B6ljd&action=edit&redlink=1" class="new" title="Alikvotföljd [inte skriven än]">Alikvotföljdsrelaterade</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/w/index.php?title=Ober%C3%B6rbart_tal&action=edit&redlink=1" class="new" title="Oberörbart tal [inte skriven än]">Oberörbart</a><span style="font-weight:bold;"> · </span> <a href="/wiki/V%C3%A4nskapligt_tal" title="Vänskapligt tal">Vänskapligt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Sociabelt_tal&action=edit&redlink=1" class="new" title="Sociabelt tal [inte skriven än]">Sociabelt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiv%C3%A4nskapligt_tal" title="Kvasivänskapligt tal">Kvasivänskapligt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra mängder</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Defekt_tal" title="Defekt tal">Defekt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=V%C3%A4nligt_tal&action=edit&redlink=1" class="new" title="Vänligt tal [inte skriven än]">Vänligt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Solit%C3%A4rt_tal&action=edit&redlink=1" class="new" title="Solitärt tal [inte skriven än]">Solitärt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Sublimt_tal&action=edit&redlink=1" class="new" title="Sublimt tal [inte skriven än]">Sublimt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Harmoniskt_delartal&action=edit&redlink=1" class="new" title="Harmoniskt delartal [inte skriven än]">Harmoniskt delartal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Frugalt_tal" title="Frugalt tal">Frugalt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Ekvidigitalt_tal&action=edit&redlink=1" class="new" title="Ekvidigitalt tal [inte skriven än]">Ekvidigitalt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Extravagant_tal" title="Extravagant tal">Extravagant</a></div></td></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-abovebelow" style=";" colspan="3"><a href="/wiki/Lista_%C3%B6ver_tal" title="Lista över tal">Lista över tal</a></td></tr></tbody></table></td></tr></tbody></table> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐849f99967d‐lbgq6 Cached time: 20241122205636 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.236 seconds Real time usage: 0.327 seconds Preprocessor visited node count: 8079/1000000 Post‐expand include size: 66559/2097152 bytes Template argument size: 32574/2097152 bytes Highest expansion depth: 15/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2714/5000000 bytes Lua time usage: 0.020/10.000 seconds Lua memory usage: 1203307/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 207.965 1 -total 48.06% 99.958 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