Is 4440 an abundant number and what is its abundance?

Is 4440 an abundant number?

Here we will explain and calculate if 4440 is an abundant number and its abundance if applicable.

4440 is an abundant number if the sum of its proper divisors is greater than 4440.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 30 + 37 + 40 + 60 + 74 + 111 + 120 + 148 + 185 + 222 + 296 + 370 + 444 + 555 + 740 + 888 + 1110 + 1480 + 2220 = 9240.

9240 is greater than 4440. Therefore, 4440 is an abundant number.

The abundance of 4440 is the sum of its proper divisors minus 4440. Thus, the abundance of 4440 is 9240 - 4440 = 4800

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