Is 2100 an abundant number and what is its abundance?

Is 2100 an abundant number?

Here we will explain and calculate if 2100 is an abundant number and its abundance if applicable.

2100 is an abundant number if the sum of its proper divisors is greater than 2100.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 25 + 28 + 30 + 35 + 42 + 50 + 60 + 70 + 75 + 84 + 100 + 105 + 140 + 150 + 175 + 210 + 300 + 350 + 420 + 525 + 700 + 1050 = 4844.

4844 is greater than 2100. Therefore, 2100 is an abundant number.

The abundance of 2100 is the sum of its proper divisors minus 2100. Thus, the abundance of 2100 is 4844 - 2100 = 2744

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