Yeah, I don't know where I got whatever number I was using for sun-alpha centauri distance (I was converting from Milky Ways, I think).
Today I calculate 1600 - 7300 solar systems, using wikipedia AUs. Maybe my calculator is broken, though...
Earth orbits != solar system diameters
That's implied by "Also".
Other interpretations of the GP would imply the GP thought 267,000 / 5,000 is about 1.5. I'm pretty sure the GP isn't making that mistake.
Indeed, we are star-huggers. Earth orbit is tiny when compared to the last round rocks we have around it.