Is 4480 an abundant number and what is its abundance?

Is 4480 an abundant number?

Here we will explain and calculate if 4480 is an abundant number and its abundance if applicable.

4480 is an abundant number if the sum of its proper divisors is greater than 4480.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 32 + 35 + 40 + 56 + 64 + 70 + 80 + 112 + 128 + 140 + 160 + 224 + 280 + 320 + 448 + 560 + 640 + 896 + 1120 + 2240 = 7760.

7760 is greater than 4480. Therefore, 4480 is an abundant number.

The abundance of 4480 is the sum of its proper divisors minus 4480. Thus, the abundance of 4480 is 7760 - 4480 = 3280

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