Is 4704 an abundant number and what is its abundance?

Is 4704 an abundant number?

Here we will explain and calculate if 4704 is an abundant number and its abundance if applicable.

4704 is an abundant number if the sum of its proper divisors is greater than 4704.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 32 + 42 + 48 + 49 + 56 + 84 + 96 + 98 + 112 + 147 + 168 + 196 + 224 + 294 + 336 + 392 + 588 + 672 + 784 + 1176 + 1568 + 2352 = 9660.

9660 is greater than 4704. Therefore, 4704 is an abundant number.

The abundance of 4704 is the sum of its proper divisors minus 4704. Thus, the abundance of 4704 is 9660 - 4704 = 4956

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