Is 6384 an abundant number and what is its abundance?

Is 6384 an abundant number?

Here we will explain and calculate if 6384 is an abundant number and its abundance if applicable.

6384 is an abundant number if the sum of its proper divisors is greater than 6384.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 19 + 21 + 24 + 28 + 38 + 42 + 48 + 56 + 57 + 76 + 84 + 112 + 114 + 133 + 152 + 168 + 228 + 266 + 304 + 336 + 399 + 456 + 532 + 798 + 912 + 1064 + 1596 + 2128 + 3192 = 13456.

13456 is greater than 6384. Therefore, 6384 is an abundant number.

The abundance of 6384 is the sum of its proper divisors minus 6384. Thus, the abundance of 6384 is 13456 - 6384 = 7072

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