Is 4080 an abundant number and what is its abundance?

Is 4080 an abundant number?

Here we will explain and calculate if 4080 is an abundant number and its abundance if applicable.

4080 is an abundant number if the sum of its proper divisors is greater than 4080.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 17 + 20 + 24 + 30 + 34 + 40 + 48 + 51 + 60 + 68 + 80 + 85 + 102 + 120 + 136 + 170 + 204 + 240 + 255 + 272 + 340 + 408 + 510 + 680 + 816 + 1020 + 1360 + 2040 = 9312.

9312 is greater than 4080. Therefore, 4080 is an abundant number.

The abundance of 4080 is the sum of its proper divisors minus 4080. Thus, the abundance of 4080 is 9312 - 4080 = 5232

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