Is 3360 a deficient number and what is its deficiency?

Is 3360 a deficient number?

Here we will explain and calculate if 3360 is a deficient number and its deficiency if applicable.

3360 is a deficient number if the sum of its proper divisors is less than 3360.

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 + 32 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 210 + 224 + 240 + 280 + 336 + 420 + 480 + 560 + 672 + 840 + 1120 + 1680 = 8736.

8736 is not less than 3360. Therefore, 3360 is not a deficient number.

The deficiency of 3360 is 3360 minus the sum of its proper divisors. Thus, the deficiency of 3360 is 3360 - 8736 = No Deficiency

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