Collatz problem simulation program（Published 2025.10.1)

v １．Introduction (paper introduction)

The simulation program for the Collatz problem is explained in the following paper.
Please read it briefly before running the simulation.
Please click on Collatz Conjecture: Propositions derived from Parity Vector Analysis
https://doi.org/10.13140/RG.2.2.18794.58563

v ２．Input an integer and find the Collatz sequence and parity vector

Calculating Collatz sequences for integer N

When a natural number(>1) is entered, the operation of "dividing by 2 for an even number, multiplying by 3 for an odd number and adding 1 (always an even number), and dividing the result by 2" is repeated. Exit when it reaches 1.
The result shows the number after each Collatz operation,
the display (number of operations) when it is less than the original number for the first time,
the number of operations until it converges to 1 on the last line, the Glide value, and the Parity Vector.

Enter any natural number (single-byte number, arbitrary digit).

Show results only: No Yes

v ３．Displaying a bird's-eye view of the parity vectors

Create a diagram showing the behavior of the Collatz sequence (parity vector) and calculate the integers corresponding to the parity vectors
Click here

v ４．Display a bird's-eye view of the parity vector of an integer

Click here

v ５． Find the Generator for specified Stopping Time (Glide)
at the upper limit of the bird's-eye view

Enter the desired maximum value for Stopping Time (Glide).
The Stopping Time up to that maximum value and the corresponding Generator will be displayed.

(Note) If the Stopping time you specify is too large integer, the server may send a Time out message.

v ６．Create a PV for the lower limit of the bird's-eye view and a PV
for a specified number of steps from the lower limit

Please enter two items:
(1) the number of rows from the lowest limit of the PV you want to create (the lowest row is counted as 1) and
(2) the length of the PV you want to create (half-width numbers).

Due to processing time limitations, the maximum number of digits is 3000.

v ７．Find the Generator for specified Stopping Time (Glide)
at the lower limit of the bird's-eye view

Enter the desired maximum value for Stopping Time (Glide).
The Stopping Time up to that maximum value and the corresponding Generator will be displayed.

(Note) If the Stopping time you specify is too large integer, the server may send a Time out message.