Is 4788 an abundant number and what is its abundance?

Is 4788 an abundant number?

Here we will explain and calculate if 4788 is an abundant number and its abundance if applicable.

4788 is an abundant number if the sum of its proper divisors is greater than 4788.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 19 + 21 + 28 + 36 + 38 + 42 + 57 + 63 + 76 + 84 + 114 + 126 + 133 + 171 + 228 + 252 + 266 + 342 + 399 + 532 + 684 + 798 + 1197 + 1596 + 2394 = 9772.

9772 is greater than 4788. Therefore, 4788 is an abundant number.

The abundance of 4788 is the sum of its proper divisors minus 4788. Thus, the abundance of 4788 is 9772 - 4788 = 4984

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