Research Article

Novel Theorems and Algorithms Relating to the Collatz Conjecture

Algorithm 1

Iteration analysis.
(1)Obtain the maximum number for the algorithm to consider:
(2)for int do
(3) Set counters and , and set
(4)whiledo
(5)  ifthen
(6)   Set
(7)  else {}
(8)   Set
(9)  end if
(10)  Increase
(11)  if && then
(12)   Set
(13)  end if
(14)end while
(15) Output , ,
(16) Convert to bases 2, 3, 4, then output
(17)end for