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abundant number
In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. The number 12 has an abundance of 4, for example.
==Definition==
A number ''n'' for which the sum of divisors ''σ''(''n'')>2''n'', or, equivalently, the sum of proper divisors (or aliquot sum) ''s''(''n'')>''n''.
Abundance is the value ''σ''(''n'')-''2n'' (or ''s''(''n'')-''n'').
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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