2882

Number
$2882$ (two thousand, eight hundred and eighty-two) is:


 * $2 \times 11 \times 131$


 * The $5$th pentagonal number after $1$, $5$, $22$, $1001$ which is also palindromic:
 * $2882 = \ds \sum_{k \mathop = 1}^{44} \paren {3 k - 2} = \dfrac {44 \paren {3 \times 44 - 1} } 2$


 * The $44$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $1820$, $1926$, $2035$, $2147$, $2262$, $2380$, $2501$, $2625$, $2752$:
 * $2882 = \ds \sum_{k \mathop = 1}^{44} \paren {3 k - 2} = \dfrac {44 \paren {3 \times 44 - 1} } 2$


 * The $87$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $2380$, $2420$, $2501$, $2542$, $2625$, $2667$, $2752$, $2795$:
 * $2882 = \ds \sum_{k \mathop = 1}^{44} \paren {3 k - 2} = \dfrac {44 \paren {3 \times 44 - 1} } 2$