Is 7440 an abundant number and what is its abundance?

Is 7440 an abundant number?

Here we will explain and calculate if 7440 is an abundant number and its abundance if applicable.

7440 is an abundant number if the sum of its proper divisors is greater than 7440.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 31 + 40 + 48 + 60 + 62 + 80 + 93 + 120 + 124 + 155 + 186 + 240 + 248 + 310 + 372 + 465 + 496 + 620 + 744 + 930 + 1240 + 1488 + 1860 + 2480 + 3720 = 16368.

16368 is greater than 7440. Therefore, 7440 is an abundant number.

The abundance of 7440 is the sum of its proper divisors minus 7440. Thus, the abundance of 7440 is 16368 - 7440 = 8928

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