3997

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Number

$3997$ (three thousand, nine hundred and ninety-seven) is:

$7 \times 571$

The $37$th centered hexagonal number after $1$, $7$, $19$, $37$, $61$, $91$, $127$, $\ldots$, $2791$, $2977$, $3169$, $3367$, $3571$, $3781$:

$3997 = \ds 1 + \sum_{k \mathop = 1}^{37 - 1} 6 k = 37^3 - 36^3$

Also see

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