Jupiter would need to weigh 13 times its current mass to become a brown dwarf, and about 83 to 85 times its mass to become a low-mass star [1]
[1]: https://www.astronomy.com/science/ask-astro-could-jupiter-ev...
Also interesting to note that the combined mass of all planets in the solar system is only about 1.4 Jupiter masses (or 0.0014 Solar masses). The Sun did not leave us much to work with if we’re hoping to build a second star!
Earth's mass is something times 10^24. Jupiter's mass is 2 x 10^27. The smallest stars are 8 x 10^28.
On an exponential scale, Jupiter is closer to being a star than it is to being Earth. So... maybe you could say that Jupiter is almost a star. With such loose definitions talking about astronomical scales, there's a lot of room for interpretation and exaggeration.
I think the point is--in the spirit of appreciating Jupiter--Jupiter resembles the largest possible planets.
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