Is 2520 a deficient number and what is its deficiency?

Is 2520 a deficient number?

Here we will explain and calculate if 2520 is a deficient number and its deficiency if applicable.

2520 is a deficient number if the sum of its proper divisors is less than 2520.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 120 + 126 + 140 + 168 + 180 + 210 + 252 + 280 + 315 + 360 + 420 + 504 + 630 + 840 + 1260 = 6840.

6840 is not less than 2520. Therefore, 2520 is not a deficient number.

The deficiency of 2520 is 2520 minus the sum of its proper divisors. Thus, the deficiency of 2520 is 2520 - 6840 = No Deficiency

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