Is 756 an abundant number and what is its abundance?

Is 756 an abundant number?

Here we will explain and calculate if 756 is an abundant number and its abundance if applicable.

756 is an abundant number if the sum of its proper divisors is greater than 756.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 21 + 27 + 28 + 36 + 42 + 54 + 63 + 84 + 108 + 126 + 189 + 252 + 378 = 1484.

1484 is greater than 756. Therefore, 756 is an abundant number.

The abundance of 756 is the sum of its proper divisors minus 756. Thus, the abundance of 756 is 1484 - 756 = 728

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