In number theory, an abundant number or excessive number is a positive integer n for which the sum of n's proper divisors is greater than n or the sum of all n's divisors is greater than 2n. The integer 12 is the first abundant number. Its divisors are 1, 2, 3, 4, 6, and 12, and 1 + 2 + 3 + 4 + 6 + 12 = 28 > 24; its proper divisors are 1, 2, 3, 4 and 6, and 1 + 2 + 3 + 4 + 6 = 16 > 12.[1]
List of notable abundant numbers[]
- 12 is the first abundant number.
- 945 is the first odd abundant number.