Is 1440 a deficient number and what is its deficiency?

Is 1440 a deficient number?

Here we will explain and calculate if 1440 is a deficient number and its deficiency if applicable.

1440 is a deficient number if the sum of its proper divisors is less than 1440.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 72 + 80 + 90 + 96 + 120 + 144 + 160 + 180 + 240 + 288 + 360 + 480 + 720 = 3474.

3474 is not less than 1440. Therefore, 1440 is not a deficient number.

The deficiency of 1440 is 1440 minus the sum of its proper divisors. Thus, the deficiency of 1440 is 1440 - 3474 = No Deficiency

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