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The title says it all. Are there any special class of numbers other than $2^n$ for which Collatz is true? (I mean numbers such as other powers? or some other formula that is in essence not a manipulation of $2^n$. )

Thanks.

  • 10
    All numbers less than $20 × 2^{58} $, if that counts...2011-12-29
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    Trivially, $2^nk$ for any fixed $k$ known to satisfy the conjecture.2011-12-29

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