Is 5904 an abundant number and what is its abundance?

Is 5904 an abundant number?

Here we will explain and calculate if 5904 is an abundant number and its abundance if applicable.

5904 is an abundant number if the sum of its proper divisors is greater than 5904.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 36 + 41 + 48 + 72 + 82 + 123 + 144 + 164 + 246 + 328 + 369 + 492 + 656 + 738 + 984 + 1476 + 1968 + 2952 = 11022.

11022 is greater than 5904. Therefore, 5904 is an abundant number.

The abundance of 5904 is the sum of its proper divisors minus 5904. Thus, the abundance of 5904 is 11022 - 5904 = 5118

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