Is 3192 an abundant number and what is its abundance?

Is 3192 an abundant number?

Here we will explain and calculate if 3192 is an abundant number and its abundance if applicable.

3192 is an abundant number if the sum of its proper divisors is greater than 3192.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 19 + 21 + 24 + 28 + 38 + 42 + 56 + 57 + 76 + 84 + 114 + 133 + 152 + 168 + 228 + 266 + 399 + 456 + 532 + 798 + 1064 + 1596 = 6408.

6408 is greater than 3192. Therefore, 3192 is an abundant number.

The abundance of 3192 is the sum of its proper divisors minus 3192. Thus, the abundance of 3192 is 6408 - 3192 = 3216

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