Is 6000 an abundant number and what is its abundance?

Is 6000 an abundant number?

Here we will explain and calculate if 6000 is an abundant number and its abundance if applicable.

6000 is an abundant number if the sum of its proper divisors is greater than 6000.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 40 + 48 + 50 + 60 + 75 + 80 + 100 + 120 + 125 + 150 + 200 + 240 + 250 + 300 + 375 + 400 + 500 + 600 + 750 + 1000 + 1200 + 1500 + 2000 + 3000 = 13344.

13344 is greater than 6000. Therefore, 6000 is an abundant number.

The abundance of 6000 is the sum of its proper divisors minus 6000. Thus, the abundance of 6000 is 13344 - 6000 = 7344

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