A number written as a string of 3²⁰¹³ digit 3s. No other digit appears. Find the highest power of 3 which divides this number.

(In reply to curious by Charlie)

I looked at the data more closely. It seems (no proof) that if the number of 3's is a power of 3 where the exponent is a multiple of 3 but not a multiple of 9, the highest power of 3 divisor will be 1.

Posted by Charlie on 2025-05-16 19:33:32