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Let $n$ be a positive integer
Now define the collatz variant
if $n=2m$ divide by $2$ as often as possible.
if $n=3m$ divide by $3$ as often as possible.
if $n=5m$ divide by $5$ as often as possible.
else take $7n + 1$
Notice the order of steps 1,2,3 does not matter.
Now statistically we divide ...