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Collatz Conjecture Calculator

By Skander, 29 September, 2012

UPDATE The Collatz conjecture application migrated to skapps repository.

 

Collatz Conjecture Calculator is a JavaScript application that calculates reduced Collatz sequences and shows them on a graph. The Collatz sequence calculator also gathers some properties of these sequences such as the global maximum, the last local maximum reached by the Collatz sequence before it starts to monotonically decrease. It also shows the binary representations of some interesting numbers.

Collatz conjecture, also known as The Syracuse Problem, the 3n + 1 conjecture or the Hailstone sequence conjecture was first described by mathematician Lothar Collatz. This conjecture is strikingly simple to formulate and incredibly hard to prove or refute. It states the following: let n be a natural number greater than 1. If n is even then divide it by 2. If n is odd, then multiply it by 3 and add 1 to the product. Repeat this process, then the resulting number sequence always converges to cycle 4,2,1.


Apps

My Apps

  • Collatz (Syracuse) Sequence Calculator / Visualizer
  • Erdős–Rényi Random Graph Generator / Analyzer
  • KMeans Animator
  • Language Family Explorer

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