The color you perceive is a weighted average of the intensities of different wavelengths of light that hit your eye. Ultra-violet and infra-red have a weight of zero (invisible). Most colors not at the edge of visible spectrum have weights that are roughly the same order of magnitude.

Hot bodies emit various wavelengths, but the distribution of intensities is roughly a bell curve. If you sum up all these intensities, but weight them by the aforementioned weights in the previous paragraph, you would calculate what color would be perceived when looking at that object.

Barely glowing hot objects emit a ton of infra-red (with perceptual weight zero) and a bit in the visual spectrum, on the red end of it (with a non-zero weight). So we perceive a red glow.

Extremely ludicrously hot objects emit a ton of ultra-violet, X-ray and gamma rays (all with zero weight for visual perception), but also a bit on the blue end of the visible spectrum (with a non-zero weight for perception). So they look blue. Well, they would have looked blue, if the invisible bombardment of gamma rays did not immediately evaporate you.

A hot object emits light over a wide range of frequencies.

At the low end of those frequencies, the intensity at each fequency is roughly proportional to the object's temperature multiplied by the frequency squared.

Once an object is hot enough, all of visible light is in the low end of the frequency range. Which means the ratios between all visible frequencies are based on frequency squared and nothing else.

That gives us a specific spectrum, where blue is about twice as intense as red. That spectrum has a specific color, the same color as #94B1FF.

(Note that other RGB values also represent the same color at different brightnesses. That's fine, because we're not worried about brightness in this math. Brightness scales linearly with the temperature of the object.)