Is 7344 an abundant number and what is its abundance?

Is 7344 an abundant number?

Here we will explain and calculate if 7344 is an abundant number and its abundance if applicable.

7344 is an abundant number if the sum of its proper divisors is greater than 7344.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 17 + 18 + 24 + 27 + 34 + 36 + 48 + 51 + 54 + 68 + 72 + 102 + 108 + 136 + 144 + 153 + 204 + 216 + 272 + 306 + 408 + 432 + 459 + 612 + 816 + 918 + 1224 + 1836 + 2448 + 3672 = 14976.

14976 is greater than 7344. Therefore, 7344 is an abundant number.

The abundance of 7344 is the sum of its proper divisors minus 7344. Thus, the abundance of 7344 is 14976 - 7344 = 7632

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