Is 3780 a deficient number and what is its deficiency?

Is 3780 a deficient number?

Here we will explain and calculate if 3780 is a deficient number and its deficiency if applicable.

3780 is a deficient number if the sum of its proper divisors is less than 3780.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 27 + 28 + 30 + 35 + 36 + 42 + 45 + 54 + 60 + 63 + 70 + 84 + 90 + 105 + 108 + 126 + 135 + 140 + 180 + 189 + 210 + 252 + 270 + 315 + 378 + 420 + 540 + 630 + 756 + 945 + 1260 + 1890 = 9660.

9660 is not less than 3780. Therefore, 3780 is not a deficient number.

The deficiency of 3780 is 3780 minus the sum of its proper divisors. Thus, the deficiency of 3780 is 3780 - 9660 = No Deficiency

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