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A034051
Numbers with multiplicative digital root value 4.
18
4, 14, 22, 27, 39, 41, 72, 89, 93, 98, 114, 122, 127, 139, 141, 172, 189, 193, 198, 212, 217, 221, 249, 266, 271, 277, 294, 319, 333, 338, 346, 364, 379, 383, 391, 397, 411, 429, 436, 463, 492, 626, 634, 643, 662, 677, 712, 721, 727, 739, 767, 772, 776, 793
OFFSET
1,1
MAPLE
mdr:= proc(n) option remember;
if n < 10 then return(n) fi;
procname(convert(convert(n, base, 10), `*`))
end proc:
select(mdr=4, [$1..10^5]); # Robert Israel, Oct 19 2015
MATHEMATICA
Select[Range@ 800, FixedPoint[Times @@ IntegerDigits@ # &, #] == 4 &] (* Michael De Vlieger, Oct 19 2015 *)
PROG
(PARI) t(n) = {while(n>9, n=prod(i=1, #n=digits(n), n[i])); n};
for(n=0, 1e4, if(t(n) == 4, print1(n", "))); \\ Altug Alkan, Oct 19 2015
CROSSREFS
Cf. A031347.
Cf. A034048, A002275, A034049, A034050, A034051, A034052, A034053, A034054, A034055, A034056 (numbers having multiplicative digital roots 0-9).
Sequence in context: A165721 A197638 A051806 * A199984 A044437 A298008
KEYWORD
nonn,base,easy
AUTHOR
Patrick De Geest, Sep 15 1998
EXTENSIONS
Incorrect formula removed by Martin Renner, Oct 19 2015
STATUS
approved