Is 6966 an abundant number and what is its abundance?

Is 6966 an abundant number?

Here we will explain and calculate if 6966 is an abundant number and its abundance if applicable.

6966 is an abundant number if the sum of its proper divisors is greater than 6966.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 9 + 18 + 27 + 43 + 54 + 81 + 86 + 129 + 162 + 258 + 387 + 774 + 1161 + 2322 + 3483 = 9006.

9006 is greater than 6966. Therefore, 6966 is an abundant number.

The abundance of 6966 is the sum of its proper divisors minus 6966. Thus, the abundance of 6966 is 9006 - 6966 = 2040

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