Is 2048 a deficient number and what is its deficiency?

Is 2048 a deficient number?

Here we will explain and calculate if 2048 is a deficient number and its deficiency if applicable.

2048 is a deficient number if the sum of its proper divisors is less than 2048.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 = 2047.

2047 is less than 2048. Therefore, 2048 is a deficient number.

The deficiency of 2048 is 2048 minus the sum of its proper divisors. Thus, the deficiency of 2048 is 2048 - 2047 = 1

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