Is 2160 a deficient number and what is its deficiency?

Is 2160 a deficient number?

Here we will explain and calculate if 2160 is a deficient number and its deficiency if applicable.

2160 is a deficient number if the sum of its proper divisors is less than 2160.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 90 + 108 + 120 + 135 + 144 + 180 + 216 + 240 + 270 + 360 + 432 + 540 + 720 + 1080 = 5280.

5280 is not less than 2160. Therefore, 2160 is not a deficient number.

The deficiency of 2160 is 2160 minus the sum of its proper divisors. Thus, the deficiency of 2160 is 2160 - 5280 = No Deficiency

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