Is 3960 an abundant number and what is its abundance?

Is 3960 an abundant number?

Here we will explain and calculate if 3960 is an abundant number and its abundance if applicable.

3960 is an abundant number if the sum of its proper divisors is greater than 3960.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 24 + 30 + 33 + 36 + 40 + 44 + 45 + 55 + 60 + 66 + 72 + 88 + 90 + 99 + 110 + 120 + 132 + 165 + 180 + 198 + 220 + 264 + 330 + 360 + 396 + 440 + 495 + 660 + 792 + 990 + 1320 + 1980 = 10080.

10080 is greater than 3960. Therefore, 3960 is an abundant number.

The abundance of 3960 is the sum of its proper divisors minus 3960. Thus, the abundance of 3960 is 10080 - 3960 = 6120

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