I have a weird WeChat username that includes a number, and I have a weird habit which is to change that number every day, usually following simple patterns like counting up or down in decimal, binary, base-6, base-5, and so on. My mom also have a weird habit, which is to track that number every day. So I wonder, why not turn this into a date-based rule-discovery game? You can check your answer with me once you think you get it.

Rule 1

11/29/2025: 677704

11/30/2025: 677715

12/1/2025: 705608

12/2/2025: 705620

12/3/2025: 706501

12/4/2025: 706513

12/5/2025: 706525

12/6/2025: 707406

12/7/2025: 707418

12/8/2025: 707430

12/9/2025: 708311

12/10/2025: 708323

12/11/2025: 709204

12/12/2025: 709216

12/13/2025: 709228

12/14/2025: 710109