9453

Number
$9453$ (nine thousand, four hundred and fifty-three) is:


 * $3 \times 23 \times 137$


 * The $69$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $6903$, $7140$, $7381$, $7626$, $7875$, $8128$, $8385$, $8646$, $8911$, $9180$:
 * $9453 = \displaystyle \sum_{k \mathop = 1}^{69} \paren {4 k - 3} = 69 \paren {2 \times 69 - 1}$


 * The $137$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $8515$, $8646$, $8778$, $8911$, $9045$, $9180$, $9316$:
 * $9453 = \displaystyle \sum_{k \mathop = 1}^{137} k = \dfrac {137 \times \paren {137 + 1} } 2$