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A247346
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Odd numbers n containing 1024 as the highest power of 2 in their Collatz (3x+1) iteration.
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2
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151, 201, 227, 341, 403, 423, 537, 605, 635, 715, 805, 847, 891, 909, 953, 955, 1003, 1073, 1075, 1129, 1131, 1191, 1271, 1273, 1337, 1431, 1433, 1505, 1613, 1693, 1697, 1783, 1787, 1907, 1911, 2007, 2011, 2147, 2149, 2257, 2259, 2263, 2377, 2383, 2421, 2503, 2541, 2547, 2675, 2681
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OFFSET
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1,1
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COMMENTS
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a(n)*2^k also contains 1024 as the highest of 2 for any k >= 0.
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LINKS
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PROG
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(PARI)
Max2(n)=v=[n]; while(n!=1, if(n==Mod(0, 2), n=n/2; v=concat(v, n)); if(n==Mod(1, 2)&&n!=1, n=3*n+1; v=concat(v, n))); k=1; while(vecsearch(vecsort(v), 2^k), k++); 2^(k-1)
n=1; while(n<10^4, if(n%2&&Max2(n)==1024, print1(n, ", ")); n++)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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