Is 7980 an abundant number and what is its abundance?

Is 7980 an abundant number?

Here we will explain and calculate if 7980 is an abundant number and its abundance if applicable.

7980 is an abundant number if the sum of its proper divisors is greater than 7980.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 19 + 20 + 21 + 28 + 30 + 35 + 38 + 42 + 57 + 60 + 70 + 76 + 84 + 95 + 105 + 114 + 133 + 140 + 190 + 210 + 228 + 266 + 285 + 380 + 399 + 420 + 532 + 570 + 665 + 798 + 1140 + 1330 + 1596 + 1995 + 2660 + 3990 = 18900.

18900 is greater than 7980. Therefore, 7980 is an abundant number.

The abundance of 7980 is the sum of its proper divisors minus 7980. Thus, the abundance of 7980 is 18900 - 7980 = 10920

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