Is 3000 an abundant number and what is its abundance?

Is 3000 an abundant number?

Here we will explain and calculate if 3000 is an abundant number and its abundance if applicable.

3000 is an abundant number if the sum of its proper divisors is greater than 3000.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 25 + 30 + 40 + 50 + 60 + 75 + 100 + 120 + 125 + 150 + 200 + 250 + 300 + 375 + 500 + 600 + 750 + 1000 + 1500 = 6360.

6360 is greater than 3000. Therefore, 3000 is an abundant number.

The abundance of 3000 is the sum of its proper divisors minus 3000. Thus, the abundance of 3000 is 6360 - 3000 = 3360

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