Definition of Abundant number

(Math.) a number, the sum of whose aliquot parts exceeds the number itself. Thus, 1, 2, 3, 4, 6, the aliquot parts of 12, make the number 16. This is opposed to a deficient number, as 14, whose aliquot parts are 1, 2, 7, the sum of which is 10; and to a perfect number, which is equal to the sum of its aliquot parts, as 6, whose aliquot parts are 1, 2., 3.

See also: Abundant



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