Abundant number

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An abundant number is a number n for which its sum of divisors is greater than 2n. 12 is an abundant number because 1 + 2 + 3 + 4 + 6 + 12 > 24. 18 is also an abundant number because 1 + 2 + 3 + 6 + 9 + 18 > 36. The series is in the Online Encyclopedia of Integer Sequences (Sloane) as A005101. The first 14 abundant numbers are:12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 72. 945 is the first odd abundant number.

List of abundant numbers[change | change source]

The table list the first 80 abundant numbers: