Is 3900 an abundant number and what is its abundance?

Is 3900 an abundant number?

Here we will explain and calculate if 3900 is an abundant number and its abundance if applicable.

3900 is an abundant number if the sum of its proper divisors is greater than 3900.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 13 + 15 + 20 + 25 + 26 + 30 + 39 + 50 + 52 + 60 + 65 + 75 + 78 + 100 + 130 + 150 + 156 + 195 + 260 + 300 + 325 + 390 + 650 + 780 + 975 + 1300 + 1950 = 8252.

8252 is greater than 3900. Therefore, 3900 is an abundant number.

The abundance of 3900 is the sum of its proper divisors minus 3900. Thus, the abundance of 3900 is 8252 - 3900 = 4352

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