Is 2000 an abundant number?




Here we will explain and calculate if 2000 is an abundant number and its abundance if applicable.

2000 is an abundant number if the sum of its proper divisors is greater than 2000.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 200 + 250 + 400 + 500 + 1000 = 2836.

2836 is greater than 2000. Therefore, 2000 is an abundant number.


The abundance of 2000 is the sum of its proper divisors minus 2000. Thus, the abundance of 2000 is 2836 - 2000 = 836

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