A049364 Smallest number that is digitally balanced in all bases 2, 3, ... n.

2, 572, 8410815, 59609420837337474

Offset: 2

Author

Harvey P. Dale

Keywords

• nonn
• nice
• base

Links

• Joe K. Crump, Joe's Number Theory Web.

Crossrefs

Cf. A031443, A049354, A049355, etc.

See A065963 for another version.

Extensions

a(5) from Joe K. Crump (joecr(AT)carolina.rr.com), Aug 29 2000, who reports that the next term is greater than 22185312344622607538702383625075608111920737991870030337.

a(6) > 5^434 and would be too large to include. This result comes from combining Joe K. Crump's algorithm with the observation that digitally balanced numbers in base 5 are all even and digitally balanced numbers in base 3 are even iff they are of even length. - Martin Fuller, Nov 27 2006