3367

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


 * The $37$th heptagonal number after $1, 7, 18, 34, 55, 81, 112, \ldots, 2205, 2356, 2512, 2673, 2839, 3010, 3186$:
 * $3367 = \displaystyle \sum_{k \mathop = 1}^{37} \left({5 k - 4}\right) = \dfrac {37 \left({5 \times 37 - 3}\right)} 2$


 * 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 $91$, $121$, $286$, $671$, $703$, $949$, $1105$, $1541$, $1729$, $1891$, $2465$, $2665$, $2701$, $2821$, $3281$:
 * $3^{3367} \equiv 3 \pmod {3367}$