Is 2100 a deficient number and what is its deficiency?

Is 2100 a deficient number?

Here we will explain and calculate if 2100 is a deficient number and its deficiency if applicable.

2100 is a deficient number if the sum of its proper divisors is less than 2100.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 25 + 28 + 30 + 35 + 42 + 50 + 60 + 70 + 75 + 84 + 100 + 105 + 140 + 150 + 175 + 210 + 300 + 350 + 420 + 525 + 700 + 1050 = 4844.

4844 is not less than 2100. Therefore, 2100 is not a deficient number.

The deficiency of 2100 is 2100 minus the sum of its proper divisors. Thus, the deficiency of 2100 is 2100 - 4844 = No Deficiency

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