Is 3864 an abundant number and what is its abundance?

Is 3864 an abundant number?

Here we will explain and calculate if 3864 is an abundant number and its abundance if applicable.

3864 is an abundant number if the sum of its proper divisors is greater than 3864.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 21 + 23 + 24 + 28 + 42 + 46 + 56 + 69 + 84 + 92 + 138 + 161 + 168 + 184 + 276 + 322 + 483 + 552 + 644 + 966 + 1288 + 1932 = 7656.

7656 is greater than 3864. Therefore, 3864 is an abundant number.

The abundance of 3864 is the sum of its proper divisors minus 3864. Thus, the abundance of 3864 is 7656 - 3864 = 3792

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