Is 7000 an abundant number and what is its abundance?

Is 7000 an abundant number?

Here we will explain and calculate if 7000 is an abundant number and its abundance if applicable.

7000 is an abundant number if the sum of its proper divisors is greater than 7000.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 100 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 500 + 700 + 875 + 1000 + 1400 + 1750 + 3500 = 11720.

11720 is greater than 7000. Therefore, 7000 is an abundant number.

The abundance of 7000 is the sum of its proper divisors minus 7000. Thus, the abundance of 7000 is 11720 - 7000 = 4720

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