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role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Videz" > <label id="vector-appearance-dropdown-label" for="vector-appearance-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Videz</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sl.wikipedia.org&uselang=sl" class=""><span>Denarni prispevki</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Registracija&returnto=Avtomorfno+%C5%A1tevilo" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno." class=""><span>Ustvari račun</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Prijava&returnto=Avtomorfno+%C5%A1tevilo" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o" class=""><span>Prijava</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="Več možnosti" > <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="Osebna orodja" > <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">Osebna orodja</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Uporabniški meni" > <div 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class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Projekt"> <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="Vsebina" 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">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</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">Uvod</div> </a> </li> <li id="toc-Tabeli_1-avtomorfnih_števil" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tabeli_1-avtomorfnih_števil"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Tabeli 1-avtomorfnih števil</span> </div> </a> <ul id="toc-Tabeli_1-avtomorfnih_števil-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="Vsebina" 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="Vklopi kazalo vsebine" > <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">Vklopi kazalo vsebine</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">Avtomorfno število</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="P9jdi na članek v drugem jeziku. Na voljo v 14 jezikih." > <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-14" 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">14 jezikov</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/Automorphic_number" title="Automorphic number – angleščina" lang="en" hreflang="en" data-title="Automorphic number" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Automorfinen_luku" title="Automorfinen luku – finščina" lang="fi" hreflang="fi" data-title="Automorfinen luku" data-language-autonym="Suomi" data-language-local-name="finščina" 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_automorphe" title="Nombre automorphe – francoščina" lang="fr" hreflang="fr" data-title="Nombre automorphe" data-language-autonym="Français" data-language-local-name="francoščina" 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%90%D7%95%D7%98%D7%95%D7%9E%D7%95%D7%A8%D7%A4%D7%99" title="מספר אוטומורפי – hebrejščina" lang="he" hreflang="he" data-title="מספר אוטומורפי" data-language-autonym="עברית" data-language-local-name="hebrejščina" 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/Automorfikus_sz%C3%A1mok" title="Automorfikus számok – madžarščina" lang="hu" hreflang="hu" data-title="Automorfikus számok" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_automorfo" title="Numero automorfo – italijanščina" lang="it" hreflang="it" data-title="Numero automorfo" data-language-autonym="Italiano" data-language-local-name="italijanščina" 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/%E8%87%AA%E5%B7%B1%E5%90%8C%E5%BD%A2%E6%95%B0" title="自己同形数 – japonščina" lang="ja" hreflang="ja" data-title="自己同形数" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%85%E1%9F%86%E1%9E%93%E1%9E%BD%E1%9E%93%E1%9E%A2%E1%9E%BC%E1%9E%8F%E1%9E%BC%E1%9E%98%E1%9F%89%E1%9E%A0%E1%9F%92%E1%9E%9C%E1%9E%B8%E1%9E%9F" title="ចំនួនអូតូម៉ហ្វីស – kmerščina" lang="km" hreflang="km" data-title="ចំនួនអូតូម៉ហ្វីស" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="kmerščina" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Automorfinis_skai%C4%8Dius" title="Automorfinis skaičius – litovščina" lang="lt" hreflang="lt" data-title="Automorfinis skaičius" data-language-autonym="Lietuvių" data-language-local-name="litovščina" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Automorf_getal" title="Automorf getal – nizozemščina" lang="nl" hreflang="nl" data-title="Automorf getal" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczby_automorficzne" title="Liczby automorficzne – poljščina" lang="pl" hreflang="pl" data-title="Liczby automorficzne" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_automorf" title="Număr automorf – romunščina" lang="ro" hreflang="ro" data-title="Număr automorf" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li 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</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">Iz Wikipedije, proste enciklopedije</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="sl" dir="ltr"><p><b>Avtomórfno števílo</b> (oziroma natančneje <b>n-avtomórfno števílo</b>) je v <a href="/wiki/Matematika" title="Matematika">matematiki</a> takšno <a href="/wiki/%C5%A0tevilo" title="Število">število</a> <i>k</i>, katerega <a href="/wiki/Kvadratno_%C5%A1tevilo" title="Kvadratno število">kvadrat</a> (oziroma <i>nk</i><sup>2</sup>) se končuje z isto <a href="/wiki/%C5%A0tevka" title="Števka">števko</a> ali s števkami kot število samo. Na primer 1 · 5<sup>2</sup> = 2<i>5</i>, 1 · 76<sup>2</sup> = 57<i>76</i> in 1 · 890625<sup>2</sup> = 793212<i>890625</i>, tako, da so števila 5, 76, 890625 1-avtomorfna števila. </p><p>Avtomorfnim številom rečejo tudi <i>čudna števila</i>. </p> <div class="mw-heading mw-heading3"><h3 id="Tabeli_1-avtomorfnih_števil"><span id="Tabeli_1-avtomorfnih_.C5.A1tevil"></span>Tabeli 1-avtomorfnih števil</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Avtomorfno_%C5%A1tevilo&veaction=edit&section=1" title="Uredi razdelek: Tabeli 1-avtomorfnih števil" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Avtomorfno_%C5%A1tevilo&action=edit&section=1" title="Urejanje izvorne kode razdelka: Tabeli 1-avtomorfnih števil"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><tt> </tt></p><tt><table border="1" cellpadding="0" cellspacing="0"> <tbody><tr bgcolor="#A0E0A0"> <th><i>n</i> </th> <th><i>n</i><sup>2</sup> </th></tr> <tr> <td align="right">5</td> <td align="right">25 </td></tr> <tr> <td align="right">25</td> <td align="right">625 </td></tr> <tr> <td align="right">625</td> <td align="right">390625 </td></tr> <tr> <td align="right">90625</td> <td align="right">8212890625 </td></tr> <tr> <td align="right">890625</td> <td align="right">793212890625 </td></tr> <tr> <td align="right">2890625</td> <td align="right">8355712890625 </td></tr> <tr> <td align="right">12890625</td> <td align="right">166168212890625 </td></tr> <tr> <td align="right">212890625</td> <td align="right">45322418212890625 </td></tr> <tr> <td align="right">8212890625 </td> <td align="right">67451572418212890625 </td></tr> <tr> <td align="right">18212890625 </td> <td align="right">331709384918212890625 </td></tr> <tr> <td align="right">918212890625 </td> <td align="right">843114912509918212890625 </td></tr> <tr> <td align="right">9918212890625 </td> <td align="right">98370946943759918212890625 </td></tr> <tr> <td align="right">59918212890625 </td> <td align="right">3590192236006259918212890625 </td></tr> <tr> <td align="right">259918212890625 </td> <td align="right">67557477392256259918212890625 </td></tr> <tr> <td align="right">6259918212890625 </td> <td align="right">39186576032079756259918212890625 </td></tr> <tr> <td align="right">56259918212890625 </td> <td align="right">3165178397321142256259918212890625 </td></tr> <tr> <td align="right">256259918212890625 </td> <td align="right">65669145682477392256259918212890625 </td></tr> <tr> <td align="right">2256259918212890625 </td> <td align="right">5090708818534039892256259918212890625 </td></tr> <tr> <td align="right">92256259918212890625 </td> <td align="right">8511217494096854352392256259918212890625 </td></tr> <tr> <td align="right">392256259918212890625 </td> <td align="right">153864973445024588727392256259918212890625 </td></tr> <tr> <td align="right">7392256259918212890625 </td> <td align="right">54645452612300005057477392256259918212890625 </td></tr> <tr> <td align="right">77392256259918212890625 </td> <td align="right">5989561329000849809744977392256259918212890625 </td></tr> <tr> <td align="right">977392256259918212890625 </td> <td align="right">955295622596853633012869977392256259918212890625 </td></tr> <tr> <td align="right">9977392256259918212890625 </td> <td align="right">99548356235275381465044119977392256259918212890625 </td></tr> <tr> <td align="right">19977392256259918212890625 </td> <td align="right">399096201360473745722856619977392256259918212890625 </td></tr> <tr> <td align="right">619977392256259918212890625 </td> <td align="right">384371966908872375601191606619977392256259918212890625 </td></tr> <tr> <td align="right">6619977392256259918212890625 </td> <td align="right">43824100673983991394155879106619977392256259918212890625 </td></tr> <tr> <td align="right">106619977392256259918212890625 </td> <td align="right">11367819579125235975036734004106619977392256259918212890625 </td></tr> <tr> <td align="right">4106619977392256259918212890625 </td> <td align="right">16864327638717175315320739859004106619977392256259918212890625 </td></tr> <tr> <td align="right">9004106619977392256259918212890625 </td> <td align="right">81073936023920699329853843152771109004106619977392256259918212890625 </td></tr></tbody></table></tt><tt><table border="1" cellpadding="0" cellspacing="0"> <tbody><tr bgcolor="#A0E0A0"> <th><i>n</i> </th> <th><i>n</i><sup>2</sup> </th></tr> <tr> <td align="right"><a href="/wiki/6_(%C5%A1tevilo)" title="6 (število)">6</a></td> <td align="right">36 </td></tr> <tr> <td align="right">76</td> <td align="right">5776 </td></tr> <tr> <td align="right">376</td> <td align="right">141376 </td></tr> <tr> <td align="right">9376</td> <td align="right">87909376 </td></tr> <tr> <td align="right">109376</td> <td align="right">11963109376 </td></tr> <tr> <td align="right">7109376</td> <td align="right">50543227109376 </td></tr> <tr> <td align="right">87109376</td> <td align="right">7588043387109376 </td></tr> <tr> <td align="right">787109376</td> <td align="right">619541169787109376 </td></tr> <tr> <td align="right">1787109376</td> <td align="right">3193759921787109376 </td></tr> <tr> <td align="right">81787109376 </td> <td align="right">6689131260081787109376 </td></tr> <tr> <td align="right">40081787109376 </td> <td align="right">1606549657881340081787109376 </td></tr> <tr> <td align="right">740081787109376 </td> <td align="right">547721051611007740081787109376 </td></tr> <tr> <td align="right">3740081787109376 </td> <td align="right">13988211774267263740081787109376 </td></tr> <tr> <td align="right">43740081787109376 </td> <td align="right">1913194754743017343740081787109376 </td></tr> <tr> <td align="right">743740081787109376 </td> <td align="right">553149309256696143743740081787109376 </td></tr> <tr> <td align="right">7743740081787109376 </td> <td align="right">59965510454276227407743740081787109376 </td></tr> <tr> <td align="right">607743740081787109376 </td> <td align="right">369352453608598807478607743740081787109376 </td></tr> <tr> <td align="right">2607743740081787109376 </td> <td align="right">6800327413935747244982607743740081787109376 </td></tr> <tr> <td align="right">22607743740081787109376 </td> <td align="right">511110077017207231620022607743740081787109376 </td></tr> <tr> <td align="right">80022607743740081787109376 </td> <td align="right">6403617750108490103144731780022607743740081787109376 </td></tr> <tr> <td align="right">380022607743740081787109376 </td> <td align="right">144417182396352539175410357380022607743740081787109376 </td></tr> <tr> <td align="right">3380022607743740081787109376 </td> <td align="right">11424552828858793029898066613380022607743740081787109376 </td></tr> <tr> <td align="right">893380022607743740081787109376 </td> <td align="right">798127864794612716138610952755893380022607743740081787109376 </td></tr> <tr> <td align="right">5893380022607743740081787109376 </td> <td align="right">34731928090872050116956482046515893380022607743740081787109376 </td></tr> <tr> <td align="right">995893380022607743740081787109376 </td> <td align="right">991803624372854204655478894958610995893380022607743740081787109376 </td></tr></tbody></table></tt><tt></tt><p><tt></tt> </p><p>Prva 1-avtomorfna števila za <i>n</i> > 0 so (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A003226" class="extiw" title="oeis:A003226">A003226</a></span>): </p> <dl><dd>0,1,5,6,25,76,376,625,9376,90625,109376,890625, ...</dd></dl>    </div><noscript><img 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