Is 3600 an abundant number and what is its abundance?

Is 3600 an abundant number?

Here we will explain and calculate if 3600 is an abundant number and its abundance if applicable.

3600 is an abundant number if the sum of its proper divisors is greater than 3600.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 144 + 150 + 180 + 200 + 225 + 240 + 300 + 360 + 400 + 450 + 600 + 720 + 900 + 1200 + 1800 = 8893.

8893 is greater than 3600. Therefore, 3600 is an abundant number.

The abundance of 3600 is the sum of its proper divisors minus 3600. Thus, the abundance of 3600 is 8893 - 3600 = 5293

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