Got a knack for numbers? Or maybe just a stubborn streak.
This one’s for the people who love the digit 4. It’s deceptively simple. Looks cute on paper. Bites you when you blink.
The Setup
Imagine a number N.
It starts with a 4. Let’s say the rest of it is some jumble of digits we’ll call X. So N looks like 4X.
Here is the trick. Move that 4 to the very end.
The number becomes X4.
Here’s the kicker. That new number is exactly one quarter of the original N.
In math speak?
N / 4 = X4
What’s the smallest N that fits this bill?
Don’t overthink it at first. Assume N is small. Maybe two digits?
Doesn’t work.
Three digits?
Try that.
Keep going up until it clicks.
Why It’s Hard
Most people see “divide by four” and their brain short-circuits. They look for complex formulas.
You don’t need them.
You need patience.
It’s about brute-forcing your way through the digit lengths.
Start low. Check if the division holds.
If not. Bump up the digits.
Do it again.
It feels repetitive. It probably will be. But there’s a logic hiding in there. The Moscow Mathematical Olympiad knew this. It came from 1983.
Back then calculators weren’t quite so smart. You had to actually think.
Don’t Spoil It
Please.
No posting answers.
Instead talk about snouts.
Or ducks. Or anything other than the solution.
I’m holding off until 5pm UK time to drop the answer.
If you can’t wait… the solution link is usually buried at the bottom. But do me a favor? Respect the process.
Work it out.
