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A072011
Numbers k such that A072010(k) = k.
3
1, 2, 4, 8, 16, 32, 35, 64, 70, 128, 140, 256, 280, 323, 512, 560, 646, 899, 1024, 1120, 1225, 1292, 1763, 1798, 2048, 2240, 2450, 2584, 3526, 3596, 4096, 4480, 4900, 5168, 7052, 7192, 8192, 8960, 9800, 10336, 10403, 11305
OFFSET
1,2
COMMENTS
If A072010(n) = n then also A072010(n*3^i) = n and A072010(n*2^j) = n*2^j.
For m=(4*k+1)*(4*k+3), product of twin prime pairs: A072010(m) = m, as well as for values m in the free monoid generated by the range of A071697.
LINKS
EXAMPLE
395675 is a term as f(395675) = f(323*1225) = f((17*19)*(5*7)^2) = f(17*19)*(f(5*7))^2 = f(17)*f(19)*(f(5)*f(7))^2 = 19*17*(7*5)^2 = 323*1225 = 395675 for f = A072010.
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jun 05 2002
STATUS
approved