1926

Number
$1926$ (one thousand, nine hundred and twenty-six) is:


 * $2 \times 3^2 \times 107$


 * The $36$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $925$, $1001$, $1080$, $1162$, $1247$, $1335$, $1426$, $1520$, $1617$, $1717$, $1820$:
 * $1926 = \displaystyle \sum_{k \mathop = 1}^{36} \left({3 k - 2}\right) = \dfrac {36 \left({3 \times 36 - 1}\right)} 2$


 * The $71$st generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $1335$, $1365$, $1426$, $1457$, $1520$, $1552$, $1617$, $1650$, $1717$, $1751$, $1820$, $1855$:
 * $1926 = \displaystyle \sum_{k \mathop = 1}^{36} \left({3 k - 2}\right) = \dfrac {36 \left({3 \times 36 - 1}\right)} 2$