3015

Number
$3015$ (three thousand and fifteen) is:


 * $3^2 \times 5 \times 67$


 * The $45$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $1820$, $1926$, $2035$, $2147$, $2262$, $2380$, $2501$, $2625$, $2752$, $2882$:
 * $3015 = \ds \sum_{k \mathop = 1}^{45} \paren {3 k - 2} = \dfrac {45 \paren {3 \times 45 - 1} } 2$


 * The $89$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $2380$, $2420$, $2501$, $2542$, $2625$, $2667$, $2752$, $2795$, $2882$, $2926$:
 * $3015 = \ds \sum_{k \mathop = 1}^{45} \paren {3 k - 2} = \dfrac {45 \paren {3 \times 45 - 1} } 2$