Is 5964 an abundant number and what is its abundance?

Is 5964 an abundant number?

Here we will explain and calculate if 5964 is an abundant number and its abundance if applicable.

5964 is an abundant number if the sum of its proper divisors is greater than 5964.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 + 71 + 84 + 142 + 213 + 284 + 426 + 497 + 852 + 994 + 1491 + 1988 + 2982 = 10164.

10164 is greater than 5964. Therefore, 5964 is an abundant number.

The abundance of 5964 is the sum of its proper divisors minus 5964. Thus, the abundance of 5964 is 10164 - 5964 = 4200

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