Abundant Number

Pronunciation: /əˈbʌn dənt ˈnʌm bər/ ?

An abundant number is a positive integer that is less than the sum of its proper divisors. A proper divisor is a divisor of a number that is not the number itself. For example, 12 is an abundant number since 12 < 1 + 2 + 3 + 4 + 6 = 16.

Each positive integer is either a deficient number, a perfect number, or an abundant number. A deficient number is greater than the sum of its proper divisor. A perfect number is equal to the sum of its proper divisors. An abundant number is greater than the sum of its proper divisors.

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Abundant Number. 2011-03-12. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/a/abundantnumber.html.

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Revision History

2011-03-12: Initial version (McAdams, David.)