2035
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Number
$2035$ (two thousand and thirty-five) is:
- $5 \times 11 \times 37$
- The $37$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $925$, $1001$, $1080$, $1162$, $1247$, $1335$, $1426$, $1520$, $1617$, $1717$, $1820$, $1926$:
- $2035 = \ds \sum_{k \mathop = 1}^{37} \paren {3 k - 2} = \dfrac {37 \paren {3 \times 37 - 1} } 2$
- The $73$rd generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $1617$, $1650$, $1717$, $1751$, $1820$, $1855$, $1926$, $1962$:
- $2035 = \ds \sum_{k \mathop = 1}^{37} \paren {3 k - 2} = \dfrac {37 \paren {3 \times 37 - 1} } 2$