The short answer is that there is nothing magic about these numbers. Having somewhat standard sizes in the different ranges (7B for smaller models, for example) makes comparing the different architecture and training techniques more straightforward. It's more of a priority for some teams than others.
Model Size + Overhead (context length, etc...)
7B: 13 GB - fits on T4 (16 GB).
13B: 26 GB - fits on V100 (32 GB).
30B: 65 GB - fits on A100 (80 GB).
65B: 131 GB - fits on 2x A100 (160 GB).
That's it really.