Is 5460 a deficient number and what is its deficiency?

Is 5460 a deficient number?

Here we will explain and calculate if 5460 is a deficient number and its deficiency if applicable.

5460 is a deficient number if the sum of its proper divisors is less than 5460.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 13 + 14 + 15 + 20 + 21 + 26 + 28 + 30 + 35 + 39 + 42 + 52 + 60 + 65 + 70 + 78 + 84 + 91 + 105 + 130 + 140 + 156 + 182 + 195 + 210 + 260 + 273 + 364 + 390 + 420 + 455 + 546 + 780 + 910 + 1092 + 1365 + 1820 + 2730 = 13356.

13356 is not less than 5460. Therefore, 5460 is not a deficient number.

The deficiency of 5460 is 5460 minus the sum of its proper divisors. Thus, the deficiency of 5460 is 5460 - 13356 = No Deficiency

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