Is 105 a deficient number?




Here we will explain and calculate if 105 is a deficient number and its deficiency if applicable.

105 is a deficient number if the sum of its proper divisors is less than 105.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 7 + 15 + 21 + 35 = 87.

87 is less than 105. Therefore, 105 is a deficient number.

The deficiency of 105 is 105 minus the sum of its proper divisors. Thus, the deficiency of 105 is 105 - 87 = 18


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