Is 1008 an abundant number and what is its abundance?

Is 1008 an abundant number?

Here we will explain and calculate if 1008 is an abundant number and its abundance if applicable.

1008 is an abundant number if the sum of its proper divisors is greater than 1008.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 36 + 42 + 48 + 56 + 63 + 72 + 84 + 112 + 126 + 144 + 168 + 252 + 336 + 504 = 2216.

2216 is greater than 1008. Therefore, 1008 is an abundant number.

The abundance of 1008 is the sum of its proper divisors minus 1008. Thus, the abundance of 1008 is 2216 - 1008 = 1208

Abundant Calculator
You can enter another number here to check if it is an abundant number:

Is 1009 an abundant number?
Go here for the next number on our list. Is it abundant?