Is 4956 an abundant number and what is its abundance?

Is 4956 an abundant number?

Here we will explain and calculate if 4956 is an abundant number and its abundance if applicable.

4956 is an abundant number if the sum of its proper divisors is greater than 4956.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 + 59 + 84 + 118 + 177 + 236 + 354 + 413 + 708 + 826 + 1239 + 1652 + 2478 = 8484.

8484 is greater than 4956. Therefore, 4956 is an abundant number.

The abundance of 4956 is the sum of its proper divisors minus 4956. Thus, the abundance of 4956 is 8484 - 4956 = 3528

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