2667
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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 $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $2072$, $2147$, $2185$, $2262$, $2301$, $2380$, $2420$, $2501$, $2542$, $2625$:
- $2667 = \dfrac {42 \paren {3 \times 42 + 1} } 2$