#1124 · Number Theory · Divisibility

Perfect‑cube in large bases

Show that the integer $1367631$ is a perfect cube in any positional numeral system whose radix $b$ is greater than $7$ .

~7 minProof · checked by AIbase conversioncubic representation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 32

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