Difference between revisions of "Abundant number"

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The first 10 abundant numbers are:
 
The first 10 abundant numbers are:
  
12, 18, 20, 24, 30, 36, 40, 42, 48, and 54
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12, 18, 20, 24, 30, 36, 40, 42, 48, 54,...
  
 
The first 10 odd abundant numbers are:
 
The first 10 odd abundant numbers are:
  
945, 1575, 2205, 2835, 3465, 4095, 4725, 5355, 5775, and 5985
+
945, 1575, 2205, 2835, 3465, 4095, 4725, 5355, 5775, 5985,...
  
 
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Revision as of 20:57, 6 February 2018

An abundant number is a number $n$ for which the sum of its proper divisors is greater than $n$ itself. For example, 12 is abundant because the sum of its proper divisors is 1 + 2 + 3 + 4 + 6 = 16 > 12.

Examples

The first 10 abundant numbers are:

12, 18, 20, 24, 30, 36, 40, 42, 48, 54,...

The first 10 odd abundant numbers are:

945, 1575, 2205, 2835, 3465, 4095, 4725, 5355, 5775, 5985,...

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