A web search finds sticks of hardwood, redwood, even yucca (very light). A stick should be shoulder-high (so you can rest your chin on it). It should have a spike tip for wear and traction. It should have a hole at the butt end, although a wrist strap is useless. A compass in the butt?
It takes a while to learn to use a stick. I had to think about where to place the tip. Eventually it became automatic. Half the time I'm just carrying the stick. But on a steep uphill I can get some upper-body exercise. Steep downhill a welcome brake. Crossing streams a brace that means feet-dry, or a balance pole across a log. It's troublesome when clambering over rocks for you can jam and break the tip.
A stick has non-walking uses. It's a pointer to the peak or bird. A weapon against dogs, bears, snakes. Only a weapon of last resort, but reassuring. With training, against similarly armed humans. It's a tent pole and a hat rack. Add a hook and line and it's a fishing pole. Poke a bandanna through the hole and it's a flag. Or dip the bandanna into hard-to-reach water. A monopod for camera or mount for GPS. Draws maps in the sand.
Actually, a stick is useful as a resonator. Dragging it along a (rocky) trail makes a surprisingly loud noise. Announces your approach to those bears it's a weapon against. Better than a bell.
And of course you can dig channels to drain puddles.