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Shifting a digit from right to left

Puzzling Asked on November 28, 2020

A positive integer n (without leading zeros) has the property that shifting the rightmost digit of n to the left end doubles the number.
Examples: 1->1, 1234->4123, 2020->202

What is the smallest n with this property?

One Answer

I think the answer is

Proof

Computer check

Correct answer by hexomino on November 28, 2020

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