Is 4176 an abundant number and what is its abundance?

Is 4176 an abundant number?

Here we will explain and calculate if 4176 is an abundant number and its abundance if applicable.

4176 is an abundant number if the sum of its proper divisors is greater than 4176.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 29 + 36 + 48 + 58 + 72 + 87 + 116 + 144 + 174 + 232 + 261 + 348 + 464 + 522 + 696 + 1044 + 1392 + 2088 = 7914.

7914 is greater than 4176. Therefore, 4176 is an abundant number.

The abundance of 4176 is the sum of its proper divisors minus 4176. Thus, the abundance of 4176 is 7914 - 4176 = 3738

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