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It will most likely not "reach" any star, but go between the stars, not getting very close to any one.

Of course, you can calculate how long it would take hypothetically to get to Proxima Centauri, for example (assuming it went in that direction), by dividing the distance to Proxima Centauri (about 4.2 light years - don't forget to convert that to kilometers) by the speed at which Voyager 1 is traveling (currently moving at about 17 km/sec relative to the Sun).

Comments : That math gives an answer of roughly 75,000 years.

I've also read that "Voyager 1" would take about 60,000 years to reach the nearest star, if it was going that way. There are other estimates too, but it would certainly take tens of thousands of years.

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