Is 4560 a deficient number and what is its deficiency?

Is 4560 a deficient number?

Here we will explain and calculate if 4560 is a deficient number and its deficiency if applicable.

4560 is a deficient number if the sum of its proper divisors is less than 4560.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 19 + 20 + 24 + 30 + 38 + 40 + 48 + 57 + 60 + 76 + 80 + 95 + 114 + 120 + 152 + 190 + 228 + 240 + 285 + 304 + 380 + 456 + 570 + 760 + 912 + 1140 + 1520 + 2280 = 10320.

10320 is not less than 4560. Therefore, 4560 is not a deficient number.

The deficiency of 4560 is 4560 minus the sum of its proper divisors. Thus, the deficiency of 4560 is 4560 - 10320 = No Deficiency

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