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പാലിൻഡ്രോം സംഖ്യ - നാൾവഴി
2026-05-03T20:13:01Z
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04:50, 26 സെപ്റ്റംബർ 2017 സമയത്ത് Visbot
2017-09-26T04:50:24Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">10:20, 26 സെപ്റ്റംബർ 2017-നു നിലവിലുണ്ടായിരുന്ന രൂപം</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">വരി 1:</td>
<td colspan="2" class="diff-lineno">വരി 1:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>മുന്പോട്ടു വായിച്ചാലും പിന്നോട്ടു വായിച്ചാലും ഒരുപോലെ തോന്നുന്ന സംഖ്യകളാണ് '''<del style="font-weight: bold; text-decoration: none;">പാലിന്ഡ്രോം സംഖ്യകള്</del>'''. [[<del style="font-weight: bold; text-decoration: none;">പാലിന്ഡ്രോം</del>]] എന്ന <del style="font-weight: bold; text-decoration: none;">പദത്തില്നിന്നാണ് </del>ഈ പേരു വന്നത്. ആദ്യത്തെ <del style="font-weight: bold; text-decoration: none;">പാലിന്ഡ്രോം സംഖ്യകള് </del>0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, … <ref>http://mathforum.org/library/drmath/view/57170.html</ref></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>മുന്പോട്ടു വായിച്ചാലും പിന്നോട്ടു വായിച്ചാലും ഒരുപോലെ തോന്നുന്ന സംഖ്യകളാണ് '''<ins style="font-weight: bold; text-decoration: none;">പാലിൻഡ്രോം സംഖ്യകൾ</ins>'''. [[<ins style="font-weight: bold; text-decoration: none;">പാലിൻഡ്രോം</ins>]] എന്ന <ins style="font-weight: bold; text-decoration: none;">പദത്തിൽനിന്നാണ് </ins>ഈ പേരു വന്നത്. ആദ്യത്തെ <ins style="font-weight: bold; text-decoration: none;">പാലിൻഡ്രോം സംഖ്യകൾ </ins>0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, … <ref>http://mathforum.org/library/drmath/view/57170.html</ref></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== <del style="font-weight: bold; text-decoration: none;">പാലിന്ഡ്രോം വര്ഗ്ഗസംഖ്യകള് </del>==</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== <ins style="font-weight: bold; text-decoration: none;">പാലിൻഡ്രോം വർഗ്ഗസംഖ്യകൾ </ins>==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ചില <del style="font-weight: bold; text-decoration: none;">വര്ഗസംഖ്യകളും പാലിന്ഡ്രോം </del>സംഖ്യകളായുണ്ട്. </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>ചില <ins style="font-weight: bold; text-decoration: none;">വർഗസംഖ്യകളും പാലിൻഡ്രോം </ins>സംഖ്യകളായുണ്ട്. </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*676 = (26)<sup>2</sup>.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*676 = (26)<sup>2</sup>.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*69696 = (264)<sup>2</sup>.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*69696 = (264)<sup>2</sup>.</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">വരി 10:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*6916103777337773016196 = (83163115486)<sup>2</sup>.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*6916103777337773016196 = (83163115486)<sup>2</sup>.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">മേല്പറഞ്ഞ </del>സംഖ്യകളുടെ (രണ്ടോ അതിലധികമോ അക്കങ്ങളുള്ള <del style="font-weight: bold; text-decoration: none;">പാലിന്ഡ്രോം വര്ഗ്ഗസംഖ്യകള് </del>)മറ്റൊരു പ്രത്യേകത ഇവയെല്ലാം 11 കൊണ്ട് നിശേഷം ഹരിക്കാവുന്ന സംഖ്യകളുമാണ്.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">മേൽപറഞ്ഞ </ins>സംഖ്യകളുടെ (രണ്ടോ അതിലധികമോ അക്കങ്ങളുള്ള <ins style="font-weight: bold; text-decoration: none;">പാലിൻഡ്രോം വർഗ്ഗസംഖ്യകൾ </ins>)മറ്റൊരു പ്രത്യേകത ഇവയെല്ലാം 11 കൊണ്ട് നിശേഷം ഹരിക്കാവുന്ന സംഖ്യകളുമാണ്.</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== <del style="font-weight: bold; text-decoration: none;">പാലിന്ഡ്രോം അവിഭാജ്യസംഖ്യകള് </del>==</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== <ins style="font-weight: bold; text-decoration: none;">പാലിൻഡ്രോം അവിഭാജ്യസംഖ്യകൾ </ins>==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>2, 3, 5, 7, 11, 101, 131, 151, … (A002385) </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>2, 3, 5, 7, 11, 101, 131, 151, … (A002385) </div></td></tr>
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Hassainarmankada: /* അവലംബം */
2009-10-27T11:12:27Z
<p><span class="autocomment">അവലംബം</span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:42, 27 ഒക്ടോബർ 2009-നു നിലവിലുണ്ടായിരുന്ന രൂപം</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== അവലംബം ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== അവലംബം ==</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[വിഭാഗം:ഗണിതം]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[വിഭാഗം:ഗണിതം]]</div></td></tr>
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Hassainarmankada
https://schoolwiki.in/index.php?title=%E0%B4%AA%E0%B4%BE%E0%B4%B2%E0%B4%BF%E0%B5%BB%E0%B4%A1%E0%B5%8D%E0%B4%B0%E0%B5%8B%E0%B4%82_%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF&diff=1087&oldid=prev
Hassainarmankada: /* അവലംബം */
2009-10-27T11:12:04Z
<p><span class="autocomment">അവലംബം</span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">←പഴയ രൂപം</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:42, 27 ഒക്ടോബർ 2009-നു നിലവിലുണ്ടായിരുന്ന രൂപം</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22">വരി 22:</td>
<td colspan="2" class="diff-lineno">വരി 22:</td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[വിഭാഗം:ഗണിതം]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[വിഭാഗം:ഗണിതം]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[ca:Capicua]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[cs:Palindromické číslo]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[de:Zahlenpalindrom]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[en:Palindromic number]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[fr:Nombre palindrome]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[it:Numero palindromo]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[lmo:Nümar palindrum]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[pl:Palindrom#Palindromy liczbowe]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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Hassainarmankada
https://schoolwiki.in/index.php?title=%E0%B4%AA%E0%B4%BE%E0%B4%B2%E0%B4%BF%E0%B5%BB%E0%B4%A1%E0%B5%8D%E0%B4%B0%E0%B5%8B%E0%B4%82_%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF&diff=295&oldid=prev
Admin: 1 പതിപ്പ്
2009-10-21T11:25:25Z
<p>1 പതിപ്പ്</p>
<p><b>പുതിയ താൾ</b></p><div>മുന്പോട്ടു വായിച്ചാലും പിന്നോട്ടു വായിച്ചാലും ഒരുപോലെ തോന്നുന്ന സംഖ്യകളാണ് '''പാലിന്ഡ്രോം സംഖ്യകള്'''. [[പാലിന്ഡ്രോം]] എന്ന പദത്തില്നിന്നാണ് ഈ പേരു വന്നത്. ആദ്യത്തെ പാലിന്ഡ്രോം സംഖ്യകള് 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, … <ref>http://mathforum.org/library/drmath/view/57170.html</ref><br />
== പാലിന്ഡ്രോം വര്ഗ്ഗസംഖ്യകള് ==<br />
<br />
ചില വര്ഗസംഖ്യകളും പാലിന്ഡ്രോം സംഖ്യകളായുണ്ട്. <br />
*676 = (26)<sup>2</sup>.<br />
*69696 = (264)<sup>2</sup>.<br />
*698896 = (836)<sup>2</sup>.<br />
*5221225 = (2285)<sup>2</sup>.<br />
*637832238736 = (798644)<sup>2</sup>.<br />
*6916103777337773016196 = (83163115486)<sup>2</sup>.<br />
<br />
മേല്പറഞ്ഞ സംഖ്യകളുടെ (രണ്ടോ അതിലധികമോ അക്കങ്ങളുള്ള പാലിന്ഡ്രോം വര്ഗ്ഗസംഖ്യകള് )മറ്റൊരു പ്രത്യേകത ഇവയെല്ലാം 11 കൊണ്ട് നിശേഷം ഹരിക്കാവുന്ന സംഖ്യകളുമാണ്.<br />
<br />
<br />
== പാലിന്ഡ്രോം അവിഭാജ്യസംഖ്യകള് ==<br />
2, 3, 5, 7, 11, 101, 131, 151, … (A002385) <br />
<br />
== അവലംബം ==<br />
<references/><br />
<br />
{{num-stub}}<br />
<br />
[[വിഭാഗം:ഗണിതം]]<br />
<br />
[[ca:Capicua]]<br />
[[cs:Palindromické číslo]]<br />
[[de:Zahlenpalindrom]]<br />
[[en:Palindromic number]]<br />
[[es:Capicúa]]<br />
[[fr:Nombre palindrome]]<br />
[[hu:Palindromszám]]<br />
[[it:Numero palindromo]]<br />
[[ja:回文数]]<br />
[[ko:대칭수]]<br />
[[lmo:Nümar palindrum]]<br />
[[pl:Palindrom#Palindromy liczbowe]]<br />
[[pt:Capicua]]<br />
[[sl:Palindromno število]]<br />
[[sv:Palindromtal]]<br />
[[zh:回文数]]</div>
Admin