Is 7752 an abundant number and what is its abundance?

Is 7752 an abundant number?

Here we will explain and calculate if 7752 is an abundant number and its abundance if applicable.

7752 is an abundant number if the sum of its proper divisors is greater than 7752.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 17 + 19 + 24 + 34 + 38 + 51 + 57 + 68 + 76 + 102 + 114 + 136 + 152 + 204 + 228 + 323 + 408 + 456 + 646 + 969 + 1292 + 1938 + 2584 + 3876 = 13848.

13848 is greater than 7752. Therefore, 7752 is an abundant number.

The abundance of 7752 is the sum of its proper divisors minus 7752. Thus, the abundance of 7752 is 13848 - 7752 = 6096

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