ABUNDANT Number

, in Arithmetic, is a number whose aliquot parts, added all together, make a sum which is greater than the number itself. Thus 12 is an abundant number, because its aliquot parts, namely 1, 2, 3, 4, 6, when added together, make 16, which is greater than the number 12 itself.

An abundant number is opposed to a deficient one, which is less than the sum of its aliquot parts taken together, as the number 14, whose aliquot parts 1, 2, 7, make no more than 10; and to a perfect number, which is exactly equal to the sum of all its aliquot parts, as the number 6, which is equal to the sum of 1, 2, 3, which are its aliquot parts.