Is 3672 an abundant number and what is its abundance?

Is 3672 an abundant number?

Here we will explain and calculate if 3672 is an abundant number and its abundance if applicable.

3672 is an abundant number if the sum of its proper divisors is greater than 3672.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 17 + 18 + 24 + 27 + 34 + 36 + 51 + 54 + 68 + 72 + 102 + 108 + 136 + 153 + 204 + 216 + 306 + 408 + 459 + 612 + 918 + 1224 + 1836 = 7128.

7128 is greater than 3672. Therefore, 3672 is an abundant number.

The abundance of 3672 is the sum of its proper divisors minus 3672. Thus, the abundance of 3672 is 7128 - 3672 = 3456

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