Oh dear, this is a case of looking at noise and trying to find signal. Generally, part numbers are based on "a part number is 4635 because the last part they ordered was 4634". Sometimes they have revision codes or vendor codes. But part numbers are chosen to be convenient to the manufacturer, not to make any sense to outsiders.
If you want to hunt signal, you need to first stop and understand what signal you are hunting -- which means you need to learn the tradecraft of the industry you are studying. Grasping at straws with wild guesses like #6 and metric thread pitch (which would never happen) is a complete and total waste of your time: it is avoiding knowledge rather than seeking it.
First, fasteners are standardized to only a few diameter/pitch match-ups: 10-24 and 10-32, but never 10-30. And they pick a system, Imperial or Metric, and they go all in.
So your first step is to stop guessing and determine what the screw actually is, and use that as a starting point.
This is a laptop, so Metric. Get a chart of standard metric threads (diameter/pitch pairs), and either millimeter graph paper or a calipers.
- You're looking for round diameter sizes like 3mm, 3.5mm, whatever.
- Then take a hi-res camera picture from a distance watch your parallax and count some threads. In the metric system, the figure is millimeters between threads, e.g. 0.35 pitch = each thread is 0.35mm apart, or 20 threads in 7mm. In Imperial, it inverts to threads per inch.
- Make sure the diameter and thread pitch match up to a standard pair. If it doesn't, your data is wrong! Remeasure or switch systems.
- Now measure the length. You know you're in the right system (Imperial/metric) when the screw length snaps to a nice, even number like 15mm or 3/4". Learn how to measure lengths on button-head vs countersink screws, they work differently.
Now you have screw length, diameter and thread pitch, in hard numbers. Now you can compare those to numerals in the part number. See how much easier that is?
I doubt you will see anything. I have a feeling that company starts every part number with 6-36, and that may be assigned to them by their Chinese factory. I expect the tail numbers are vendor codes or revision numbers. Leaving only about 8 digits for the part number proper, for all parts from that company. There just isn't room there for encoding data about screws in plaintext.