Is 3792 an abundant number and what is its abundance?

Is 3792 an abundant number?

Here we will explain and calculate if 3792 is an abundant number and its abundance if applicable.

3792 is an abundant number if the sum of its proper divisors is greater than 3792.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48 + 79 + 158 + 237 + 316 + 474 + 632 + 948 + 1264 + 1896 = 6128.

6128 is greater than 3792. Therefore, 3792 is an abundant number.

The abundance of 3792 is the sum of its proper divisors minus 3792. Thus, the abundance of 3792 is 6128 - 3792 = 2336

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