An abundant number is a positive integer that is less than the sum of its proper divisors. A proper divisor is a divisor of an integer that is not the integer itself. For example, 12 is an abundant number since 12 < 1 + 2 + 3 + 4 + 6 = 16.
Each positive integer is either a deficient number, a perfect number, or an abundant number. A deficient number is greater than the sum of its proper divisors. A perfect number is equal to the sum of its proper divisors. An abundant number is greater than the sum of its proper divisors.
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