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Developer's Description

Lothar Collatz was born 6 July 1910 in Amsberg, Westphalia. During hispost-doctoral studies at at the age of 27, Collatz developed what isnow known as the Collatz Conjecture.Simply stated, the Collatz Conjecture is as follows:Given the function f, defined as: n2 if n 0 (mod 2)f(n) = 3n + 1 if n 1 (mod 2) for any positive starting integer n, repeated iterations of thisfunction will always lead to the cycle { 4, 2, 1 }. In other words,repeated iterations of some starting number will always be eventuallydecreasing and that there are no other cycles in the sequence besides{ 4, 2, 1 }.The Reverse function, f', is defined as the sequence moving backwardfrom an ending integer through to some initial starting integer thatwould eventually arrive at the number entered through a series ofiterations. It is defined as follows: n2 if n 0, 1, 2, 3, 5 (mod 6)f'(n) = (n - 1)3 if n 4 (mod 6) & "Previous" pressed n2 if n 4 (mod 6) & "Multiply" pressedThis application was written by Jeffrey C. Jacobs and is Copyright 2010TimeHorse, LLC; source code is available upon request.

Full Specifications

What's new in version 1.01


Release March 4, 2011
Date Added March 4, 2011
Version 1.01

Operating Systems

Operating Systems iOS
Additional Requirements Compatible with iPhone, iPod Touch, and iPad. Requires iOS 3.1 or later. iTunes account required


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