# 4033

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## Number

$4033$ (four thousand and thirty-three) is:

$37 \times 109$

The $13$th Poulet number after $341$, $561$, $645$, $1105$, $1387$, $1729$, $1905$, $2047$, $2465$, $2701$, $2821$, $3277$:
$2^{4033} \equiv 2 \pmod {4033}$: $4033 = 37 \times 109$

The $37$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $2296$, $2465$, $2640$, $2821$, $3008$, $3201$, $3400$, $3605$, $3816$:
$4033 = \displaystyle \sum_{k \mathop = 1}^{37} \paren {6 k - 5} = 37 \paren {3 \times 37 - 2}$