1335
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Number
$1335$ (one thousand, three hundred and thirty-five) is:
- $3 \times 5 \times 89$
- The $30$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $477$, $532$, $590$, $651$, $715$, $782$, $852$, $925$, $1001$, $1080$, $1162$, $1247$:
- $1335 = \ds \sum_{k \mathop = 1}^{30} \paren {3 k - 2} = \dfrac {30 \paren {3 \times 30 - 1} } 2$
- The $59$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $925$, $950$, $1001$, $1027$, $1080$, $1107$, $1162$, $1190$, $1247$, $1276$:
- $1335 = \ds \sum_{k \mathop = 1}^{30} \paren {3 k - 2} = \dfrac {30 \paren {3 \times 30 - 1} } 2$