Proof of the Collatz Conjecture

Key Points

• The central aim is to provide a proof of the Collatz Conjecture through the analysis of the Collatz function.
• Analyze the Collatz function focusing on positive odd numbers not divisible by 3.
• Demonstrate that the graph of the Collatz function forms a tree structure with root 1.
• A comprehensive proof is established showing the structure of the Collatz function as a tree.
• Illustrates the connections of all natural numbers based on the defined properties of positive odd numbers.