Badulla: Badu Numbers-------- |work|

Badulla Badu Numbers — Quick Guide

What it is

"The truth lies within the universe, and the universe lies within the numbers."

How to Find Your Own

If you wish to search for Badulla Badu Numbers: Badulla Badu Numbers--------

  1. Finiteness: Only a handful of small integers (likely between 1 and 20) can be Badulla Badu Numbers. Most numbers collapse into fixed points.
  2. Base Sensitivity: The algorithm is highly sensitive to the choice of bases. Change base-4 to base-5, and the set of Badu pairs shifts.
  3. Connection to Happy Numbers: Badulla Badu Numbers resemble "happy numbers" (which cycle to 1) but differ in that they use mixed bases and aim for a two-cycle rather than a unit cycle.
  4. Computational Irreducibility: For large N, predicting whether a number is a "Badulla ancestor" (i.e., eventually reaches a Badu pair) without iteration is likely NP-hard — making it interesting for lightweight cryptography.