Base for 511197 as 1746335

In which base $b$ is the decimal number $511, 197$ represented by the numeral $174633 5_{b}$ ?

~5 minAnswer checked instantlybase conversionpolynomial evaluation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 23

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).