1. 2024 is a difference of two perfect squares - 2025 and 1 and #2 and #3 below illustrates that through alternate means
2. Add digits 1 to 9 and we get 45. (45 + 1) * (45 - 1) is 2024
3. Add the cubes of the digits from 1 to 9 and the resultant is 2025 (45 ^ 2). Subtract 1 ^ 2 as in #1 and we get 2024 again!
4. 2024 is also sum of 1936 + 88. In turn 1936 is nothing but a perfect square of 44.
Hence 2024 can be written as (44 ^ 2) + (44 * 2). Look at how 2 and 4 which are the primary digits that make up 2024 come into play again! Add 20 and 24 and the resultant is 44 again!
5. Last but not the least..2024 x 2024 = 4096,576 where 4096 is a perfect square and 576 is also a perfect square (24 in action again!)
Wishing everyone a very Happy, Healthy and Prosperous 2024!
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