Is 7788 an abundant number and what is its abundance?

Is 7788 an abundant number?

Here we will explain and calculate if 7788 is an abundant number and its abundance if applicable.

7788 is an abundant number if the sum of its proper divisors is greater than 7788.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 11 + 12 + 22 + 33 + 44 + 59 + 66 + 118 + 132 + 177 + 236 + 354 + 649 + 708 + 1298 + 1947 + 2596 + 3894 = 12372.

12372 is greater than 7788. Therefore, 7788 is an abundant number.

The abundance of 7788 is the sum of its proper divisors minus 7788. Thus, the abundance of 7788 is 12372 - 7788 = 4584

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