Inspired by the 3n + 1 Problem: Branching via ω(n)-Parity

Key Points

• This research explores a function that converts positive integers by analyzing the parity of their unique prime factors.
• Introduced a novel function based on distinct prime factors' parity.
• Analyzed branching behavior inspired by the 3n + 1 problem.
• The function effectively classifies integers based on their distinct prime factors.
• Branched results indicate potential patterns in number theory linked to the 3n + 1 problem.