# 946

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## Number

$946$ (nine hundred and forty-six) is:

$2 \times 11 \times 43$

The $22$nd hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $378$, $435$, $496$, $561$, $630$, $703$, $780$, $861$:
$946 = \ds \sum_{k \mathop = 1}^{22} \paren {4 k - 3} = 22 \paren {2 \times 22 - 1}$

The $43$rd triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $325$, $351$, $378$, $406$, $435$, $465$, $496$, $528$, $561$, $595$, $630$, $666$, $703$, $741$, $780$, $820$, $861$, $903$:
$946 = \ds \sum_{k \mathop = 1}^{43} k = \dfrac {43 \times \paren {43 + 1} } 2$