Is 5544 an abundant number and what is its abundance?

Is 5544 an abundant number?

Here we will explain and calculate if 5544 is an abundant number and its abundance if applicable.

5544 is an abundant number if the sum of its proper divisors is greater than 5544.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 11 + 12 + 14 + 18 + 21 + 22 + 24 + 28 + 33 + 36 + 42 + 44 + 56 + 63 + 66 + 72 + 77 + 84 + 88 + 99 + 126 + 132 + 154 + 168 + 198 + 231 + 252 + 264 + 308 + 396 + 462 + 504 + 616 + 693 + 792 + 924 + 1386 + 1848 + 2772 = 13176.

13176 is greater than 5544. Therefore, 5544 is an abundant number.

The abundance of 5544 is the sum of its proper divisors minus 5544. Thus, the abundance of 5544 is 13176 - 5544 = 7632

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