This question already has an answer here:
I understand that Colour Temperature correlates with the object's thermal temperature, such as a red-hot piece of iron being ~360c and the incandescent bulb filament is about 2500c.
Why are sources of light, such as LEDs and florescent tubes, that emit white to white-blue light (which according to Colour Temperature, would be around 4500+c) cool, or nowhere near 4500c, when touched?
Also, why is the sky considered 10,000k? Especially if the surface of the sun is only ~5770k?