Is 5952 an abundant number and what is its abundance?

Is 5952 an abundant number?

Here we will explain and calculate if 5952 is an abundant number and its abundance if applicable.

5952 is an abundant number if the sum of its proper divisors is greater than 5952.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 31 + 32 + 48 + 62 + 64 + 93 + 96 + 124 + 186 + 192 + 248 + 372 + 496 + 744 + 992 + 1488 + 1984 + 2976 = 10304.

10304 is greater than 5952. Therefore, 5952 is an abundant number.

The abundance of 5952 is the sum of its proper divisors minus 5952. Thus, the abundance of 5952 is 10304 - 5952 = 4352

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