Is 2024 an abundant number and what is its abundance?

Is 2024 an abundant number?

Here we will explain and calculate if 2024 is an abundant number and its abundance if applicable.

2024 is an abundant number if the sum of its proper divisors is greater than 2024.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 8 + 11 + 22 + 23 + 44 + 46 + 88 + 92 + 184 + 253 + 506 + 1012 = 2296.

2296 is greater than 2024. Therefore, 2024 is an abundant number.

The abundance of 2024 is the sum of its proper divisors minus 2024. Thus, the abundance of 2024 is 2296 - 2024 = 272

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