Hello, this is <Frank>.

Recently, it seems a company has offered a 120 million reward for proving the Collatz Conjecture. The money is tempting, but this is an extremely difficult mathematical problem.

What is the Collatz Conjecture?
It is an unsolved mathematical problem proposed in 1937.

Any positive integer:

• If even, divide by 2
• If odd, multiply by 3 and add 1

Repeating this process, the number is expected to eventually reach 1.

For example, starting with 3:

• 3 is odd → 10
• 10 is even → 5
• 5 is odd → 16
• 16 is even → 8
• 8 is even → 4
• 4 is even → 2
• 2 is even → 1

Source: Asahi Shimbun Digital

Starting with 9:

• 9 is odd → 28
• 28 is even → 14
• 14 is even → 7
• 7 is odd → 22
• 22 is even → 11
• 11 is odd → 34
• 34 is even → 17
• 17 is odd → 52
• 52 is even → 26
• 26 is even → 13
• 13 is odd → 40
• 40 is even → 20
• 20 is even → 10
• 10 is even → 5
• 5 is odd → 16
• 16 is even → 8
• 8 is even → 4
• 4 is even → 2
• 2 is even → 1

Wow! (◎~◎)
It safely reaches 1.

Indeed, there seems to be hidden mathematical regularity behind it.
The Collatz Conjecture—let’s leave it here for today and just “stop for now.”

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