Is 900 an abundant number and what is its abundance?

Is 900 an abundant number?

Here we will explain and calculate if 900 is an abundant number and its abundance if applicable.

900 is an abundant number if the sum of its proper divisors is greater than 900.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 30 + 36 + 45 + 50 + 60 + 75 + 90 + 100 + 150 + 180 + 225 + 300 + 450 = 1921.

1921 is greater than 900. Therefore, 900 is an abundant number.

The abundance of 900 is the sum of its proper divisors minus 900. Thus, the abundance of 900 is 1921 - 900 = 1021

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