Is 945 an abundant number and what is its abundance?

Is 945 an abundant number?

Here we will explain and calculate if 945 is an abundant number and its abundance if applicable.

945 is an abundant number if the sum of its proper divisors is greater than 945.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 7 + 9 + 15 + 21 + 27 + 35 + 45 + 63 + 105 + 135 + 189 + 315 = 975.

975 is greater than 945. Therefore, 945 is an abundant number.

The abundance of 945 is the sum of its proper divisors minus 945. Thus, the abundance of 945 is 975 - 945 = 30

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