Is 966 an abundant number and what is its abundance?

Is 966 an abundant number?

Here we will explain and calculate if 966 is an abundant number and its abundance if applicable.

966 is an abundant number if the sum of its proper divisors is greater than 966.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 7 + 14 + 21 + 23 + 42 + 46 + 69 + 138 + 161 + 322 + 483 = 1338.

1338 is greater than 966. Therefore, 966 is an abundant number.

The abundance of 966 is the sum of its proper divisors minus 966. Thus, the abundance of 966 is 1338 - 966 = 372

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