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 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