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20 April, 07:41

An integer n>1 is abundant if the sum of its proper divisors is greater n. find the smallest abundant integer.

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  1. 20 April, 07:56
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    You can obviously skip over all the prime numbers. Take 4, 6, 8, 9, 10, 12, 14, etc.

    4 only has two proper divisors: 1, 2

    sum = 3

    6 has three: 1, 2, 3

    sum = 6

    8 also has three: 1, 2, 4

    sum = 7

    10 has three: 1, 2, 5

    sum = 8

    12 has five: 1, 2, 3, 4, 6

    sum = 16

    12 is the least abundant integer.
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