Either a photographic one or a sample card made of the real substance (except for the beads, which you would have to set in epoxy or something) can be helpful.
This arrangement of DMC colors is at least 25 years old, incomplete, and not in any order that makes sense to me, but I still use it to match unlabelled skeins and to loo over a bunch of colors quickly.
Step 1: Make a Sample
Make a physical chip with a few inches (or cm) of your floss or yarn: it's easier to see if it's more than one strand wide, so trim it into four or five or six even pieces, and fasten it at one end with tape. It's easier if you use the kind of tape you can write on, or you can stick a tiny label on it. Write the company (if you use more than one brand of floss) and the color number on the sample.
Step 2: Arrange Your Samples
Perhaps later you will get another few skeins, and want to have them arranged by number, or in order of the spectrum. Sticking the cardboard down, rather than the actual sample, will make is easier to rearrange them without damaging the sample.
You could scan the project with its palette of samples.
Step 4: Going to Electrons
If you then go on to match the CMYK/RGB numbers to each color, ask yourself if that is the best way to spend your time. It might be. Let me know.
This is probably the best way to make a record of the colors of beads, since a picture will behave better than the actual beads.
Step 6: Inventory Scan?
If you like, you could scan each skein as it comes in, and not bother with the actual floss sample. It won't be as viscerally useful, but that way you could carry an inventory on your electronic companion without having to buy an app, even assuming there's an app for your brand.