Is 1998 an abundant number and what is its abundance?

Is 1998 an abundant number?

Here we will explain and calculate if 1998 is an abundant number and its abundance if applicable.

1998 is an abundant number if the sum of its proper divisors is greater than 1998.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 9 + 18 + 27 + 37 + 54 + 74 + 111 + 222 + 333 + 666 + 999 = 2562.

2562 is greater than 1998. Therefore, 1998 is an abundant number.

The abundance of 1998 is the sum of its proper divisors minus 1998. Thus, the abundance of 1998 is 2562 - 1998 = 564

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