Unraveling the mathematical euphoria of N = 2³+3³+4³+5³+6³+7³+8³+9³
In Pascal’s triangle, 2024 occupies the 24th row. Positioned in the third column of this row, 2024 qualifies as a Tetrahedral number, indicating it is the sum of the initial 22 triangular numbers: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, and 253.
Surprisingly, 2024 is divisible by 23.
The proof: If 2024 is divisible by 23, then so is 2300 – 2024 (and vice versa), resulting in 276. Further, if 276 is divisible by 23, then so is 276 – 230 (and vice versa), leading to 46. Since 46 is divisible by 23, the statement holds true.
