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 ...
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http://en.wikipedia.org/wiki/Abundant_number
(from the article `number game`) Most numbers are either `abundant` or `deficient.` In an abundant number, the sum of its proper divisors (i.e., including 1 but excluding the number ...
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A number that is smaller than the sum of its aliquot parts (proper divisors). Twelve is the smallest abundant number – the sum of its aliquot parts is 1 + 2 + 3 + 4 + 6 = 16 – followed by 18, 20, 24, and 30. A weird number is an abundant number that is not semiperfect; in other words, ...
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A positive integer that is smaller than the sum of its proper divisors. See also: Deficient Number, Divisor, Integer.
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a positive number that is less than the sum of all positive integers that are submultiples of it, as 12, which is less than the sum of 1, 2, 3, 4, and 6. Cf. deficient number, perfect number.
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https://www.infoplease.com/dictionary/abundant-number
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