8008

Number
$8008$ (eight thousand and eight) is:
 * $2^3 \times 7 \times 11 \times 13$


 * The $52$nd octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $5985$, $6256$, $6533$, $6816$, $7105$, $7400$, $7701$:
 * $8008 = \displaystyle \sum_{k \mathop = 1}^{52} \left({6 k - 5}\right) = 52 \left({3 \times 52 - 2}\right)$