Hi guys
321 was designed before they were able to make low carbon 304. It's kind of obsolete now. Some specs linger long after their usefulness, and I can't address why some are 5 x carbon. The most erudite specs call for Ti=5(C+N).
In this grade the titanium combines with the carbon before the carbon can combine with chromium and cause sensitization. Titanium combines preferentially with oxygen, nitrogen, sulfur and then carbon. It's the carbon one is trying to eliminate. ( Sulfur and oxygen are also bad, but this wasn't understood when the grade was designed.) Unfortunately, the nitrogen, which is quite beneficial, has to become TiN before the carbon can become TiC ( actually Ti2CS ).
Modern practice when making this grade of steel is to reduce C and N to as low as possible, around 0.015 each, and then use the minimum titanium to get the four times C+N.
Titanium nitride makes a slaggy residue that is hard to float off and makes surface defects. That is the only bad thing about nitrogen in 321.
Make sure you really want 321 and aren't just following obsolete practice. 304L is the more modern answer and it's cheaper.