Yeah, 1K, 2K, 5K, 10K are all available lighting options. Really, anything less than 1K, and people would look at you with that "ahh, isn't that cute" for bringing out your Fisher Price Baby's First Light Kit. At least that's what one gaffer told me he called the kits from Lowel that had 500W, 750W, and the big light was 1K. Before LEDs and fluorescent lighting, "hot" lights had that moniker for a reason. Having stuff ruined because of the heat of a light source was not a rare event, especially for noob gaffer/grip types.
Well, my biggest light might have only been 750w, but I had three of them running. So, a decent space heater. Only these are more useful, as the heat was generated but also made all of that wonderful light.