Is 2970 a deficient number and what is its deficiency?

Is 2970 a deficient number?

Here we will explain and calculate if 2970 is a deficient number and its deficiency if applicable.

2970 is a deficient number if the sum of its proper divisors is less than 2970.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 11 + 15 + 18 + 22 + 27 + 30 + 33 + 45 + 54 + 55 + 66 + 90 + 99 + 110 + 135 + 165 + 198 + 270 + 297 + 330 + 495 + 594 + 990 + 1485 = 5670.

5670 is not less than 2970. Therefore, 2970 is not a deficient number.

The deficiency of 2970 is 2970 minus the sum of its proper divisors. Thus, the deficiency of 2970 is 2970 - 5670 = No Deficiency

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