936

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Number

$936$ (nine hundred and thirty-six) is:

$2^3 \times 3^2 \times 13$

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

$936 = \ds \sum_{k \mathop = 1}^{12} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {12^2 \paren {12 + 1} } 2$

The $18$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $96$, $133$, $176$, $225$, $280$, $341$, $408$, $481$, $560$, $645$, $736$, $833$:

$936 = \ds \sum_{k \mathop = 1}^{18} \paren {6 k - 5} = 18 \paren {3 \times 18 - 2}$

Also see

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