Is 4914 an abundant number and what is its abundance?

Is 4914 an abundant number?

Here we will explain and calculate if 4914 is an abundant number and its abundance if applicable.

4914 is an abundant number if the sum of its proper divisors is greater than 4914.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 7 + 9 + 13 + 14 + 18 + 21 + 26 + 27 + 39 + 42 + 54 + 63 + 78 + 91 + 117 + 126 + 182 + 189 + 234 + 273 + 351 + 378 + 546 + 702 + 819 + 1638 + 2457 = 8526.

8526 is greater than 4914. Therefore, 4914 is an abundant number.

The abundance of 4914 is the sum of its proper divisors minus 4914. Thus, the abundance of 4914 is 8526 - 4914 = 3612

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