Is 2048 an abundant number and what is its abundance?

Is 2048 an abundant number?

Here we will explain and calculate if 2048 is an abundant number and its abundance if applicable.

2048 is an abundant number if the sum of its proper divisors is greater 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 not greater than 2048. Therefore, 2048 is not an abundant number.

The abundance of 2048 is the sum of its proper divisors minus 2048. Thus, the abundance of 2048 is 2047 - 2048 = no abundance

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