Is 972 an abundant number and what is its abundance?

Is 972 an abundant number?

Here we will explain and calculate if 972 is an abundant number and its abundance if applicable.

972 is an abundant number if the sum of its proper divisors is greater than 972.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 54 + 81 + 108 + 162 + 243 + 324 + 486 = 1576.

1576 is greater than 972. Therefore, 972 is an abundant number.

The abundance of 972 is the sum of its proper divisors minus 972. Thus, the abundance of 972 is 1576 - 972 = 604

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