Is 2400 a deficient number and what is its deficiency?

Is 2400 a deficient number?

Here we will explain and calculate if 2400 is a deficient number and its deficiency if applicable.

2400 is a deficient number if the sum of its proper divisors is less than 2400.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 150 + 160 + 200 + 240 + 300 + 400 + 480 + 600 + 800 + 1200 = 5412.

5412 is not less than 2400. Therefore, 2400 is not a deficient number.

The deficiency of 2400 is 2400 minus the sum of its proper divisors. Thus, the deficiency of 2400 is 2400 - 5412 = No Deficiency

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