I think the odds that it would take a trip through the washer are fairly high. I might even use the microwave to dry it off.
Or, it might just get clipped to my bag and remain at my desk all day. I've worked in several companies that required me to wear a badge, and it was always in my wallet, never clipped to my shirt. Managers were the only ones who wore them. Corporate fear of unauthorized snoopers was always the excuse for asking you to wear them. As both companies went under, I pity the [alleged] snoopers.