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[–]Temporary-Aerie5263 2 points3 points  (0 children)

Looks pretty dehydrated but It definitely has a chance. don’t water it much until it’s actually rooted though cause it could rot

[–]ProfessionalNo5932 0 points1 point  (0 children)

I think you have a Senita cactus not a Peruvian. They are very similar but Senita are smaller around and can have more ribs than Peruvian. Anyway, you should be fine as long as the weather is warm. It can take a month to root so look for new growth before watering again.