Is 1872 an abundant number and what is its abundance?

Is 1872 an abundant number?

Here we will explain and calculate if 1872 is an abundant number and its abundance if applicable.

1872 is an abundant number if the sum of its proper divisors is greater than 1872.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 36 + 39 + 48 + 52 + 72 + 78 + 104 + 117 + 144 + 156 + 208 + 234 + 312 + 468 + 624 + 936 = 3770.

3770 is greater than 1872. Therefore, 1872 is an abundant number.

The abundance of 1872 is the sum of its proper divisors minus 1872. Thus, the abundance of 1872 is 3770 - 1872 = 1898

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