Abundant Number

Abundant Number

Whole number for which the sum of its proper divisors is greater than the number itself.

All whole numbers can be classified in one of these three classes:

Examples

  • Consider the whole number 20.
    The sum of its proper divisors is 22, like this: 1 + 2 + 4 + 5 + 10 = 22.
    Because 22 > 20, this means that 20 is an abundant number.
  • Consider the number 81.
    The sum of its proper divisors is 40: 1 + 3 + 9 + 27 = 40.
    Because 40 < 81, this means that 81 is not an abundant number.

Try Buzzmath activities for free

and see how the platform can help you.