1431

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Number

$1431$ (one thousand, four hundred and thirty-one) is:

$3^3 \times 53$

The $27$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $703$, $780$, $861$, $946$, $1035$, $1225$, $1326$:

$1431 = \ds \sum_{k \mathop = 1}^{27} \paren {4 k - 3} = 27 \paren {2 \times 27 - 1}$

The $53$rd triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $990$, $1035$, $1081$, $1128$, $1176$, $1225$, $1275$, $1326$, $1378$:

$1431 = \ds \sum_{k \mathop = 1}^{53} k = \dfrac {53 \times \paren {53 + 1} } 2$

Also see

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