Is 2772 an abundant number and what is its abundance?

Is 2772 an abundant number?

Here we will explain and calculate if 2772 is an abundant number and its abundance if applicable.

2772 is an abundant number if the sum of its proper divisors is greater than 2772.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 11 + 12 + 14 + 18 + 21 + 22 + 28 + 33 + 36 + 42 + 44 + 63 + 66 + 77 + 84 + 99 + 126 + 132 + 154 + 198 + 231 + 252 + 308 + 396 + 462 + 693 + 924 + 1386 = 5964.

5964 is greater than 2772. Therefore, 2772 is an abundant number.

The abundance of 2772 is the sum of its proper divisors minus 2772. Thus, the abundance of 2772 is 5964 - 2772 = 3192

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