2625
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Number
$2625$ (two thousand, six hundred and twenty-five) is:
- $3 \times 5^3 \times 7$
- The $42$nd pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $1820$, $1926$, $2035$, $2147$, $2262$, $2380$, $2501$, $2501$:
- $2625 = \ds \sum_{k \mathop = 1}^{42} \paren {3 k - 2} = \dfrac {42 \paren {3 \times 42 - 1} } 2$
- The $83$rd generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $2072$, $2147$, $2185$, $2262$, $2301$, $2380$, $2420$, $2501$, $2542$:
- $2625 = \ds \sum_{k \mathop = 1}^{42} \paren {3 k - 2} = \dfrac {42 \paren {3 \times 42 - 1} } 2$