Is 6720 an abundant number and what is its abundance?

Is 6720 an abundant number?

Here we will explain and calculate if 6720 is an abundant number and its abundance if applicable.

6720 is an abundant number if the sum of its proper divisors is greater than 6720.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 56 + 60 + 64 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 192 + 210 + 224 + 240 + 280 + 320 + 336 + 420 + 448 + 480 + 560 + 672 + 840 + 960 + 1120 + 1344 + 1680 + 2240 + 3360 = 17664.

17664 is greater than 6720. Therefore, 6720 is an abundant number.

The abundance of 6720 is the sum of its proper divisors minus 6720. Thus, the abundance of 6720 is 17664 - 6720 = 10944

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