A247715 Odd numbers n containing 16384 as the highest power of 2 in the Collatz (3x+1) iteration.

5461, 7281, 29125, 38833, 51777, 77667, 103555, 116501, 122731, 138073, 155333, 163641, 184097, 207109, 245463, 276145, 276147, 310669, 327283, 368193, 368195, 414221, 414225, 436377, 466005, 490925, 552291, 552293, 581835, 621333, 654565, 689583, 736387, 736389, 828437, 828451

Offset: 1

Author

Derek Orr, Sep 22 2014

Keywords

• nonn

Comments

a(n)*2^k also contains 16384 as the highest power of 2 for any k >= 0.

Crossrefs

Cf. A008908, A010120.

Programs

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)==16384, print1(n, ", ")); n++)