1Kolhapur, Maharashtra, India
American Journal of Applied Mathematics and Statistics.
2021,
Vol. 9 No. 3, 107-110
DOI: 10.12691/ajams-9-3-5
Copyright © 2021 Science and Education PublishingCite this paper: Abhijit Manohar. Solution to Collatz Conjecture.
American Journal of Applied Mathematics and Statistics. 2021; 9(3):107-110. doi: 10.12691/ajams-9-3-5.
Correspondence to: Abhijit Manohar, Kolhapur, Maharashtra, India. Email:
armanohar977@gmail.comAbstract
Collatz Conjecture, one of the unsolved problems in mathematics is that for any positive integer, the positive integer is multiplied by 3 and 1 is added if odd, divided by 2 if even. This process is repeated, and the sequence of numbers finally reaches 1. Collatz Conjecture is notoriously escaped all attempted proofs. This paper presents a solution to Collatz Conjecture with a statistical and logical/ mathematical proof. The article demonstrates why Collatz function cannot enter an iterative infinite loop and the function will reach 1 for all positive integers.
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