2024

Number
$2024$ (two thousand and twenty-four) is:
 * $2^3 \times 11 \times 23$


 * With $1648$, an element of the $5$th quasiamicable pair:
 * $\map {\sigma_1} {2024} = \map {\sigma_1} {2295} = 4320 = 2024 + 2295 + 1$


 * The $22$nd tetrahedral number, after $1$, $4$, $10$, $20$, $35$, $\ldots$, $816$, $969$, $1140$, $1330$, $1540$, $1771$:
 * $2024 = \ds \sum_{k \mathop = 1}^{22} \frac {k \paren {k + 1} } 2 = \dfrac {22 \paren {22 + 1} \paren {22 + 2} } 6$