In
mathematics, an abundant number or excessive number is a number n for which σ(n) > 2n. Here σ(n) is the
sum-of-divisors function: the sum of all positive
divisors of n, including n itself. The value σ(n) − 2n is called the abundance of n. An equivalent definition is that the proper divisors of the number (the divisors except the number itself) sum to more than the number.
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