Is 4140 a deficient number and what is its deficiency?

Is 4140 a deficient number?

Here we will explain and calculate if 4140 is a deficient number and its deficiency if applicable.

4140 is a deficient number if the sum of its proper divisors is less than 4140.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 23 + 30 + 36 + 45 + 46 + 60 + 69 + 90 + 92 + 115 + 138 + 180 + 207 + 230 + 276 + 345 + 414 + 460 + 690 + 828 + 1035 + 1380 + 2070 = 8964.

8964 is not less than 4140. Therefore, 4140 is not a deficient number.

The deficiency of 4140 is 4140 minus the sum of its proper divisors. Thus, the deficiency of 4140 is 4140 - 8964 = No Deficiency

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