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	<title>Superabundant number - Revision history</title>
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	<updated>2026-05-13T08:57:50Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://number.subwiki.org/w/index.php?title=Superabundant_number&amp;diff=231&amp;oldid=prev</id>
		<title>Vipul: Created page with &#039;{{natural number property}}  ==Definition==  A natural number &lt;math&gt;n&lt;/math&gt; is termed a &#039;&#039;&#039;superabundant number&#039;&#039;&#039; if it is a strict maximum-so-far for the ratio &lt;math&gt;\...&#039;</title>
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		<updated>2009-04-29T03:01:28Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;{{natural number property}}  ==Definition==  A &lt;a href=&quot;/w/index.php?title=Natural_number&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Natural number (page does not exist)&quot;&gt;natural number&lt;/a&gt; &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is termed a &amp;#039;&amp;#039;&amp;#039;superabundant number&amp;#039;&amp;#039;&amp;#039; if it is a &lt;a href=&quot;/wiki/Strict_maximum-so-far&quot; title=&quot;Strict maximum-so-far&quot;&gt;strict maximum-so-far&lt;/a&gt; for the ratio &amp;lt;math&amp;gt;\...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{natural number property}}&lt;br /&gt;
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==Definition==&lt;br /&gt;
&lt;br /&gt;
A [[natural number]] &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is termed a &amp;#039;&amp;#039;&amp;#039;superabundant number&amp;#039;&amp;#039;&amp;#039; if it is a [[strict maximum-so-far]] for the ratio &amp;lt;math&amp;gt;\sigma(n)/n&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;\sigma&amp;lt;/math&amp;gt; denotes the [[defining ingredient::divisor sum function]].&lt;br /&gt;
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==Relation with other properties==&lt;br /&gt;
&lt;br /&gt;
* [[Highly composite number]] is a strict maximum-so-far for the closely related [[divisor count function]].&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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