Is 3200 an abundant number and what is its abundance?

Is 3200 an abundant number?

Here we will explain and calculate if 3200 is an abundant number and its abundance if applicable.

3200 is an abundant number if the sum of its proper divisors is greater than 3200.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 128 + 160 + 200 + 320 + 400 + 640 + 800 + 1600 = 4705.

4705 is greater than 3200. Therefore, 3200 is an abundant number.

The abundance of 3200 is the sum of its proper divisors minus 3200. Thus, the abundance of 3200 is 4705 - 3200 = 1505

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