Is 3312 an abundant number and what is its abundance?

Is 3312 an abundant number?

Here we will explain and calculate if 3312 is an abundant number and its abundance if applicable.

3312 is an abundant number if the sum of its proper divisors is greater than 3312.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 23 + 24 + 36 + 46 + 48 + 69 + 72 + 92 + 138 + 144 + 184 + 207 + 276 + 368 + 414 + 552 + 828 + 1104 + 1656 = 6360.

6360 is greater than 3312. Therefore, 3312 is an abundant number.

The abundance of 3312 is the sum of its proper divisors minus 3312. Thus, the abundance of 3312 is 6360 - 3312 = 3048

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