Is 2016 an abundant number and what is its abundance?

Is 2016 an abundant number?

Here we will explain and calculate if 2016 is an abundant number and its abundance if applicable.

2016 is an abundant number if the sum of its proper divisors is greater than 2016.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 32 + 36 + 42 + 48 + 56 + 63 + 72 + 84 + 96 + 112 + 126 + 144 + 168 + 224 + 252 + 288 + 336 + 504 + 672 + 1008 = 4536.

4536 is greater than 2016. Therefore, 2016 is an abundant number.

The abundance of 2016 is the sum of its proper divisors minus 2016. Thus, the abundance of 2016 is 4536 - 2016 = 2520

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