Is 2976 an abundant number and what is its abundance?

Is 2976 an abundant number?

Here we will explain and calculate if 2976 is an abundant number and its abundance if applicable.

2976 is an abundant number if the sum of its proper divisors is greater than 2976.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 31 + 32 + 48 + 62 + 93 + 96 + 124 + 186 + 248 + 372 + 496 + 744 + 992 + 1488 = 5088.

5088 is greater than 2976. Therefore, 2976 is an abundant number.

The abundance of 2976 is the sum of its proper divisors minus 2976. Thus, the abundance of 2976 is 5088 - 2976 = 2112

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