297

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Number

$297$ (two hundred and ninety-seven) is:

$3^3 \times 11$


The $4$th Kaprekar triple after $1$, $8$, $45$:
$297^3 = 26 \, 198 \, 073 \to 26 + 198 + 073 = 297$


The $6$th Kaprekar number after $1$, $9$, $45$, $55$, $99$:
$297^2 = 88 \, 209 \to 88 + 209 = 297$


The number of integer partitions for $17$:
$\map p {17} = 297$


The $55$th lucky number:
$1$, $3$, $7$, $9$, $13$, $15$, $21$, $\ldots$, $237$, $241$, $259$, $261$, $267$, $273$, $283$, $285$, $289$, $297$, $\ldots$


Also see


Sources