This number's third power is the only cube in which three distinct digits each occur three times.
a. Jeopardy style: you provide the question.
b. What else can be said about this special number?
What is the 8th 3-digit repdigit?
I suppose it's special because it is a repdigit: 888
Only 201,600 of the 900,000,000 nine-digit numbers have three occurrences of three distinct digits. There are only 535 cubes with nine digits. If the cubes were distributed randomly the chance of any such numbers existing is pretty low (expected number of cubes = .112984). So the number is extra special.
Posted by Jer
on 2015-03-03 09:10:57