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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Mathematics

Landyn Logan

11 December, 07:27

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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Josephine Christensen · Answer 1

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.