8008

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Number

$8008$ (eight thousand and eight) is:

$2^3 \times 7 \times 11 \times 13$

The $52$nd octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $5985$, $6256$, $6533$, $6816$, $7105$, $7400$, $7701$:

$8008 = \ds \sum_{k \mathop = 1}^{52} \paren {6 k - 5} = 52 \paren {3 \times 52 - 2}$

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