Is 6972 an abundant number and what is its abundance?

Is 6972 an abundant number?

Here we will explain and calculate if 6972 is an abundant number and its abundance if applicable.

6972 is an abundant number if the sum of its proper divisors is greater than 6972.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 + 83 + 84 + 166 + 249 + 332 + 498 + 581 + 996 + 1162 + 1743 + 2324 + 3486 = 11844.

11844 is greater than 6972. Therefore, 6972 is an abundant number.

The abundance of 6972 is the sum of its proper divisors minus 6972. Thus, the abundance of 6972 is 11844 - 6972 = 4872

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