Is 1200 a deficient number and what is its deficiency?

Is 1200 a deficient number?

Here we will explain and calculate if 1200 is a deficient number and its deficiency if applicable.

1200 is a deficient number if the sum of its proper divisors is less than 1200.

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 + 40 + 48 + 50 + 60 + 75 + 80 + 100 + 120 + 150 + 200 + 240 + 300 + 400 + 600 = 2644.

2644 is not less than 1200. Therefore, 1200 is not a deficient number.

The deficiency of 1200 is 1200 minus the sum of its proper divisors. Thus, the deficiency of 1200 is 1200 - 2644 = No Deficiency

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