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Reduced Collatz Dynamics for Integers from 3 to 999999

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IEEE2018-10-04 更新2026-04-17 收录
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The data is reduced Collatz dynamics that is denoted by occurred (3*x+1)/2 represented by -'' and x/2 represented by 0, during the process from a starting integer to the first integer less than the starting integer. The format is: starting integer, binary representation, the count of (3*x+1)/2, the count of x/2, the reduced dynamics represented by -'' and 0, the ratio - the count of x/2 over the count of (3*x+1)/2. E.g., 3 11 2 2 1.0000000 --00, 7 111 4 3 0.7500000 ---0-00. The data file presents starting integer from 3 to 999999. As reduced dynamics is 0 for x=0 mod 2 and is -0 for x=1 mod 4, we only output x=3 mod 4 in the data file.

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2018-10-04
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