Hello, Intsecxtanx!

What is the smallest number with the property that

when the leftmost digit is moved to the rightmost position,

the new number is three times the original?

We want a number such that: .

We have: .

Since we want the smallest number, let .

. .

In the rightmost column, ends in 1.

. .

. .

In the second column,

. .

In the next column,

. .

In the next column,

. .

In the next column,

. .

In the last column, must equal 4 . . .Yes!

Solution: .