But, that's not the only cool thing about it.
If you have a calculator near you, type in any number and keep pressing cosine.
Enter a number here, and press the button to make it the cosine of it. Watch as it eventually converges.
Fun fact: The number was known since the 1860s, but only given a name in 2007.
The dottie number is also transcendental and irrational.
WikipediaRelated: Transcendental