Is 7700 an abundant number and what is its abundance?

Is 7700 an abundant number?

Here we will explain and calculate if 7700 is an abundant number and its abundance if applicable.

7700 is an abundant number if the sum of its proper divisors is greater than 7700.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 10 + 11 + 14 + 20 + 22 + 25 + 28 + 35 + 44 + 50 + 55 + 70 + 77 + 100 + 110 + 140 + 154 + 175 + 220 + 275 + 308 + 350 + 385 + 550 + 700 + 770 + 1100 + 1540 + 1925 + 3850 = 13132.

13132 is greater than 7700. Therefore, 7700 is an abundant number.

The abundance of 7700 is the sum of its proper divisors minus 7700. Thus, the abundance of 7700 is 13132 - 7700 = 5432

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