During its travels the problem has been christened with a variety of names. Collatz's colleague H. Hasse was interested in the problem and discussed generalizations of it with many people, leading to the name Hasse's algorithm [40]. The name Syracuse problem was proposed by Hasse during a visit to Syracuse University in the 1950's. Around 1960, S. Kakutani heard the problem, became interested in it, and circulated it to a number of people. He said ``For about a month everybody at Yale worked on it, with no result. A similar phenomenon happened when I mentioned it at the University of Chicago. A joke was made that this problem was part of a conspiracy to slow down mathematical research in the U.S. [45].'' In this process it acquired the name Kakutani's problem. S. Ulam also heard the problem and circulated the problem at Los Alamos and elsewhere, and it is called Ulam's problem in some circles ([13], [72]).
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