1183

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Number

$1183$ (one thousand, one hundred and eighty-three) is:

$7 \times 13^2$

The $13$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $126$, $196$, $288$, $405$, $550$, $726$, $936$:

$1183 = \ds \sum_{k \mathop = 1}^{13} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {13^2 \paren {13 + 1} } 2$

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