Is 735 a deficient number and what is its deficiency?

Is 735 a deficient number?

Here we will explain and calculate if 735 is a deficient number and its deficiency if applicable.

735 is a deficient number if the sum of its proper divisors is less than 735.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 7 + 15 + 21 + 35 + 49 + 105 + 147 + 245 = 633.

633 is less than 735. Therefore, 735 is a deficient number.

The deficiency of 735 is 735 minus the sum of its proper divisors. Thus, the deficiency of 735 is 735 - 633 = 102

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