olymmath

HMMT November 2012 H5

  • Theme
  • Answer

Given any positive integer, we can write the integer in base 12 and add together the digits of its base 12 representation. We perform this operation on the number 7653217^{6^{5^{3^{2^{1}}}}} repeatedly until a single base 12 digit remains. Find this digit.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

4

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2012/h5 · Tag WAMGBABHPG · Edit this page on GitHub · Keys: j next, k previous