eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2021-10-12
9
3
107
110
10.12691/ajams-9-3-5
AJAMS2021935
article
Solution to Collatz Conjecture
Abhijit Manohar
armanohar977@gmail.com
1
Kolhapur, Maharashtra, India
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.
http://pubs.sciepub.com/ajams/9/3/5/ajams-9-3-5.pdf
Collatz Conjecture
Diverging and Converging functions
Collatz Function
Alternating Functions
Collatz Product
Weighted Even Decreasing Function
Iterative Loop