Is 4968 an abundant number and what is its abundance?

Is 4968 an abundant number?

Here we will explain and calculate if 4968 is an abundant number and its abundance if applicable.

4968 is an abundant number if the sum of its proper divisors is greater than 4968.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 23 + 24 + 27 + 36 + 46 + 54 + 69 + 72 + 92 + 108 + 138 + 184 + 207 + 216 + 276 + 414 + 552 + 621 + 828 + 1242 + 1656 + 2484 = 9432.

9432 is greater than 4968. Therefore, 4968 is an abundant number.

The abundance of 4968 is the sum of its proper divisors minus 4968. Thus, the abundance of 4968 is 9432 - 4968 = 4464

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