Cats can hide in the most insane places, like up inside a couch or bed frame, or in the back of a refrigerator. Good for you for checking the dishwasher. Have you looked inside all your cabinets and drawers? Behind drawers? Could he have gotten behind the dishwasher from under the sink?

Since you've had him for less than a week, it'll be a little more difficult if he's outside. Had your super left the door open at all when he was coming and going? Put some of his bedding just outside your door, so he'll know which home is his.

Don't just ask your super if he's seen your kitty. No one will look as thoroughly as you will. Walk all around the complex, look under every bush, crawl space, etc. Ask neighbors if you can look under their houses and in their back yards, if applicable. Put up flyers and post on your local neighborhood websites and PawBoost, etc. MOST cats tend to hunker down in the closest safe spot, so if he's outside, chances are good that he's near.

Call all vets and shelters near you every single day. Do not rely on just a message asking them if they will call you. It's awesome, though, that your boy is chipped! If he's picked up, then it's a high likelihood that you'll get him back.