Is 3744 a deficient number and what is its deficiency?

Is 3744 a deficient number?

Here we will explain and calculate if 3744 is a deficient number and its deficiency if applicable.

3744 is a deficient number if the sum of its proper divisors is less than 3744.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 32 + 36 + 39 + 48 + 52 + 72 + 78 + 96 + 104 + 117 + 144 + 156 + 208 + 234 + 288 + 312 + 416 + 468 + 624 + 936 + 1248 + 1872 = 7722.

7722 is not less than 3744. Therefore, 3744 is not a deficient number.

The deficiency of 3744 is 3744 minus the sum of its proper divisors. Thus, the deficiency of 3744 is 3744 - 7722 = No Deficiency

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