Is 5100 an abundant number and what is its abundance?

Is 5100 an abundant number?

Here we will explain and calculate if 5100 is an abundant number and its abundance if applicable.

5100 is an abundant number if the sum of its proper divisors is greater than 5100.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 17 + 20 + 25 + 30 + 34 + 50 + 51 + 60 + 68 + 75 + 85 + 100 + 102 + 150 + 170 + 204 + 255 + 300 + 340 + 425 + 510 + 850 + 1020 + 1275 + 1700 + 2550 = 10524.

10524 is greater than 5100. Therefore, 5100 is an abundant number.

The abundance of 5100 is the sum of its proper divisors minus 5100. Thus, the abundance of 5100 is 10524 - 5100 = 5424

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