925
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Number
$925$ (nine hundred and twenty-five) is:
- $5^2 \times 37$
- The $25$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $477$, $532$, $590$, $651$, $715$, $782$, $852$:
- $925 = \ds \sum_{k \mathop = 1}^{25} \paren {3 k - 2} = \dfrac {25 \paren {3 \times 25 - 1} } 2$
- The $49$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$:
- $925 = \ds \sum_{k \mathop = 1}^{25} \paren {3 k - 2} = \dfrac {25 \paren {3 \times 25 - 1} } 2$