Is 6006 an abundant number and what is its abundance?

Is 6006 an abundant number?

Here we will explain and calculate if 6006 is an abundant number and its abundance if applicable.

6006 is an abundant number if the sum of its proper divisors is greater than 6006.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 7 + 11 + 13 + 14 + 21 + 22 + 26 + 33 + 39 + 42 + 66 + 77 + 78 + 91 + 143 + 154 + 182 + 231 + 273 + 286 + 429 + 462 + 546 + 858 + 1001 + 2002 + 3003 = 10122.

10122 is greater than 6006. Therefore, 6006 is an abundant number.

The abundance of 6006 is the sum of its proper divisors minus 6006. Thus, the abundance of 6006 is 10122 - 6006 = 4116

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