E. Cobham Brewer 1810–1897. Dictionary of Phrase and Fable. 1898.

Abundant Number (An).

A number such that the sum of all its divisors (except itself) is greater than the number itself. Thus 12 is an abundant number, because its divisors, 1, 2, 3, 4, 6 = 16, which is greater than 12.

1

A Deficient number is one of which the sum of all its divisors is less than itself, as 10, the divisors of which are 1, 2, 5 = 8, which is less than 10.

2

A Perfect number is one of which the sum of all its divisors exactly measures itself, as 6, the divisors of which are 1, 2, 3 = 6.