Is 5976 an abundant number and what is its abundance?

Is 5976 an abundant number?

Here we will explain and calculate if 5976 is an abundant number and its abundance if applicable.

5976 is an abundant number if the sum of its proper divisors is greater than 5976.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 + 72 + 83 + 166 + 249 + 332 + 498 + 664 + 747 + 996 + 1494 + 1992 + 2988 = 10404.

10404 is greater than 5976. Therefore, 5976 is an abundant number.

The abundance of 5976 is the sum of its proper divisors minus 5976. Thus, the abundance of 5976 is 10404 - 5976 = 4428

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