I can\'t see the reason why the Boolean wrapper classes were made Immutable.
Why the Boolean Wrapper was not implemented like MutableBoolean in Commons lang which a
Wrapper classes in Java are immutable so the runtime can have only two Boolean objects - one for true, one for false - and every variable is a reference to one of those two. And since they can never be changed, you know they'll never be pulled out from under you. Not only does this save memory, it makes your code easier to reason about - since the wrapper classes you're passing around you know will never have their value change, they won't suddenly jump to a new value because they're accidentally a reference to the same value elsewhere.
Similarly, Integer has a cache of all signed byte values - -128 to 127 - so the runtime doesn't have to have extra instances of those common Integer values.