It depends. Each egg is different, some are just tougher than others. Some can lose viability faster than others when stored in the same conditions. It is not a case where every one is viable to a point and then none are. It can vary by egg. You are talking about averages.
Under ideal conditions most eggs can last two weeks and often more, just like the Lady said. The further they are from ideal conditions the faster they lose viability. So, what are some ideal conditions? Around 55 F (13 C) is considered pretty close to ideal. You don't want them to freeze, you don't want them above 80 F (27 C) though 80 is better than 85. You might still get a few to hatch but you are getting into dangerous territory. You want to try to keep the storage temperature consistent, cyclically warming up and cooling off is hard on them. You want them to be stored in high humidity. You want the humidity about as high as you can get it without condensation forming on the eggs. The longer they are stored and the lower the humidity the more moisture they lose before incubation starts. You don't want a breeze blowing on them, that sucks moisture out. They should be turned a few times a day. Not turning them doesn't mean that none will hatch, some will, but typically more will hatch if they are turned. If you can do all this storing for two weeks should work well.
I store mine at room temperature, the thermostat is set at either 72 F or 78 F (22 C or 26 C) depending on the time of the year. Humidity is often pretty low, especially in winter with the heat on. I do turn them. Even this far from ideal conditions I can store them for a full week and get good hatches.
You might try writing the date they are laid on them when you collect them and see if how old they are makes any real difference to your hatch rate. I've done that and did not see any difference in eggs that were just laid versus eggs that had been laid a week when I started incubating them. By a week I've always had all the eggs I need. See how much difference the length of time you store them in your conditions makes.