Is 9660 a deficient number and what is its deficiency?

Is 9660 a deficient number?

Here we will explain and calculate if 9660 is a deficient number and its deficiency if applicable.

9660 is a deficient number if the sum of its proper divisors is less than 9660.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 23 + 28 + 30 + 35 + 42 + 46 + 60 + 69 + 70 + 84 + 92 + 105 + 115 + 138 + 140 + 161 + 210 + 230 + 276 + 322 + 345 + 420 + 460 + 483 + 644 + 690 + 805 + 966 + 1380 + 1610 + 1932 + 2415 + 3220 + 4830 = 22596.

22596 is not less than 9660. Therefore, 9660 is not a deficient number.

The deficiency of 9660 is 9660 minus the sum of its proper divisors. Thus, the deficiency of 9660 is 9660 - 22596 = No Deficiency

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