OP, If you want a friend, invite the cat into your home. They are just like dogs, man's best friend.

On of my cats follows me wherever I go, even when my dog and me go for a walk that lasts several hours. Last winter we had a lot of snow. My cat could barely walk through the 1 foot snow, she used my imprints in the snow and had to jump from one to another, but she came along although she was complaining. Her daughter joins us also a lot.

We always have stray cats venture up to our house, and they usually will appear over and over again for weeks, and then just stop coming. There is one right now, a male, that keeps coming around and attempting to get in the trash. At first I thought it was a raccoon, but then I saw him.

The most likely explanation is that you have cats. Is that the case? I think that's why they come up to my house, because I have 3 cats, two of which are female. They have all been fixed though, so they don't go into heat, which the males can sense, so I'm not sure.

I wouldn't consider this happening extremely strange or anything, as it seems to be a normal thing for stray cats, and even cats with a home, to do. Male cats love to roam for some reason. I always thought they were searching for females, but over the years I have had male cats roam after they had been neutered, so I don't think that's it.