The reason the no. was longer is b/c it would have the LW port no. at the end of it; eg: 102.34.25.16:6346
What that website will tell you is what your ip is to the outside world during that session. With a Dynamic ip, everytime you log onto the internet you'll have a different ip.
Out of curiousity can you do this test for us (after LW has been open for at least 20 mins):
Bug Report instructions & sample image Is it True/False?