2667

Number
$2667$ (two thousand, six hundred and sixty-seven) is:
 * $3 \times 7 \times 127$


 * The $3$rd term of the $4$th triplet of consecutive positive integers all of which are sphenic:
 * $2665 = 5 \times 13 \times 41$, $2666 = 2 \times 31 \times 43$, $2667 = 3 \times 7 \times 127$


 * The $42$nd second pentagonal number after $2$, $7$, $15$, $26$, $\ldots$, $1107$, $1190$, $1276$, $1365$, $1457$, $1552$, $1650$, $1751$, $1855$, $1962$, $2072$, $2185$, $2301$, $2420$, $2542$:
 * $2667 = \dfrac {42 \paren {3 \times 42 + 1} } 2$


 * The $84$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $2072$, $2147$, $2185$, $2262$, $2301$, $2380$, $2420$, $2501$, $2542$, $2625$:
 * $2667 = \dfrac {42 \paren {3 \times 42 + 1} } 2$