Smallest Cube whose Sum of Divisors is Cube/Historical Note

Historical Note on Smallest Cube whose Sum of Divisors is Cube

According to David Wells in his Curious and Interesting Numbers, 2nd ed. of $1997$, this result is due to (probably Frank) Rubin, and can be found in Journal of Recreational Mathematics, Volume $27$, on page $229$.

However, this has not been corroborated.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3^9 7^3 11^3 13^3 17^3 41^3 43^3 47^3 443^3 499^3 3583^3$