Is 1536 a deficient number and what is its deficiency?

Is 1536 a deficient number?

Here we will explain and calculate if 1536 is a deficient number and its deficiency if applicable.

1536 is a deficient number if the sum of its proper divisors is less than 1536.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 64 + 96 + 128 + 192 + 256 + 384 + 512 + 768 = 2556.

2556 is not less than 1536. Therefore, 1536 is not a deficient number.

The deficiency of 1536 is 1536 minus the sum of its proper divisors. Thus, the deficiency of 1536 is 1536 - 2556 = No Deficiency

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