Is 6552 an abundant number and what is its abundance?

Is 6552 an abundant number?

Here we will explain and calculate if 6552 is an abundant number and its abundance if applicable.

6552 is an abundant number if the sum of its proper divisors is greater than 6552.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 13 + 14 + 18 + 21 + 24 + 26 + 28 + 36 + 39 + 42 + 52 + 56 + 63 + 72 + 78 + 84 + 91 + 104 + 117 + 126 + 156 + 168 + 182 + 234 + 252 + 273 + 312 + 364 + 468 + 504 + 546 + 728 + 819 + 936 + 1092 + 1638 + 2184 + 3276 = 15288.

15288 is greater than 6552. Therefore, 6552 is an abundant number.

The abundance of 6552 is the sum of its proper divisors minus 6552. Thus, the abundance of 6552 is 15288 - 6552 = 8736

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