Is 1680 a deficient number and what is its deficiency?

Is 1680 a deficient number?

Here we will explain and calculate if 1680 is a deficient number and its deficiency if applicable.

1680 is a deficient number if the sum of its proper divisors is less than 1680.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 105 + 112 + 120 + 140 + 168 + 210 + 240 + 280 + 336 + 420 + 560 + 840 = 4272.

4272 is not less than 1680. Therefore, 1680 is not a deficient number.

The deficiency of 1680 is 1680 minus the sum of its proper divisors. Thus, the deficiency of 1680 is 1680 - 4272 = No Deficiency

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