Is 4620 an abundant number and what is its abundance?

Is 4620 an abundant number?

Here we will explain and calculate if 4620 is an abundant number and its abundance if applicable.

4620 is an abundant number if the sum of its proper divisors is greater than 4620.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 11 + 12 + 14 + 15 + 20 + 21 + 22 + 28 + 30 + 33 + 35 + 42 + 44 + 55 + 60 + 66 + 70 + 77 + 84 + 105 + 110 + 132 + 140 + 154 + 165 + 210 + 220 + 231 + 308 + 330 + 385 + 420 + 462 + 660 + 770 + 924 + 1155 + 1540 + 2310 = 11508.

11508 is greater than 4620. Therefore, 4620 is an abundant number.

The abundance of 4620 is the sum of its proper divisors minus 4620. Thus, the abundance of 4620 is 11508 - 4620 = 6888

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