3367

Number
$3367$ (three thousand, three hundred and sixty-seven) is:
 * $7 \times 13 \times 37$


 * The $37$th heptagonal number after $1$, $7$, $18$, $34$, $5$, $81$, $112$, $\ldots$, $2205$, $2356$, $2512$, $2673$, $2839$, $3010$, $3186$:
 * $3367 = \displaystyle \sum_{k \mathop = 1}^{37} \left({5 k - 4}\right) = \dfrac {37 \left({5 \times 37 - 3}\right)} 2$


 * The $34$th centered hexagonal number after $1$, $7$, $19$, $37$, $61$, $91$, $127$, $\ldots$, $2791$, $2977$, $3169$:
 * $3367 = \displaystyle 1 + \sum_{k \mathop = 1}^{34 - 1} 6 k = 34^3 - 33^3$


 * The $16$th Fermat pseudoprime to base $3$ after $91$, $121$, $286$, $671$, $703$, $949$, $1105$, $1541$, $1729$, $1891$, $2465$, $2665$, $2701$, $2821$, $3281$:
 * $3^{3367} \equiv 3 \pmod {3367}$