This puzzle appeals to enthusiasts of the number 4. It presents an elegant challenge with a neat solution. The task involves finding a number N that starts with 4. Shifting the 4 to the end produces a new number equal to one quarter of the original N. Thus N takes the form 4 followed by other digits, and dividing N by 4 yields those digits followed by 4. Seek the smallest possible N. Hint: begin by testing two-digit numbers. If unsuccessful, try three digits and continue increasing the length. The solution appears at 5pm UK time. Avoid spoilers and consider discussing snouts instead. The problem originates from the Moscow Mathematical Olympiad of 1983.
