Is 7824 an abundant number and what is its abundance?

Is 7824 an abundant number?

Here we will explain and calculate if 7824 is an abundant number and its abundance if applicable.

7824 is an abundant number if the sum of its proper divisors is greater than 7824.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48 + 163 + 326 + 489 + 652 + 978 + 1304 + 1956 + 2608 + 3912 = 12512.

12512 is greater than 7824. Therefore, 7824 is an abundant number.

The abundance of 7824 is the sum of its proper divisors minus 7824. Thus, the abundance of 7824 is 12512 - 7824 = 4688

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