Is 4680 a deficient number and what is its deficiency?

Is 4680 a deficient number?

Here we will explain and calculate if 4680 is a deficient number and its deficiency if applicable.

4680 is a deficient number if the sum of its proper divisors is less than 4680.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 24 + 26 + 30 + 36 + 39 + 40 + 45 + 52 + 60 + 65 + 72 + 78 + 90 + 104 + 117 + 120 + 130 + 156 + 180 + 195 + 234 + 260 + 312 + 360 + 390 + 468 + 520 + 585 + 780 + 936 + 1170 + 1560 + 2340 = 11700.

11700 is not less than 4680. Therefore, 4680 is not a deficient number.

The deficiency of 4680 is 4680 minus the sum of its proper divisors. Thus, the deficiency of 4680 is 4680 - 11700 = No Deficiency

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