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A152824 Numbers such that each digit leaves the same nonzero remainder when each is divided into the number. 4
223, 289, 337, 379, 433, 469, 477, 649, 673, 2227, 2233, 2263, 2269, 2323, 2437, 2449, 2623, 2629, 2773, 2833, 3223, 3277, 3349, 3433, 3493, 3889, 4249, 4333, 4393, 4429, 4633, 4873, 4933, 4969, 6223, 6229, 6433, 6637, 6679, 6763, 6949, 7267, 7477, 7939 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Joshua Zucker, Table of n, a(n) for n = 1..1543

Index entries for 10-automatic sequences.

EXAMPLE

289 == 1 (mod 2) == 1 (mod 8) == 1 (mod 9), so 289 is a member.

MATHEMATICA

fQ[n_] := Block[{a = Union@ Mod[n, IntegerDigits@n]}, a != {0} && Length@ a == 1]; Select[Range@ 4248, fQ@# &] (* Robert G. Wilson v *)

PROG

(PARI) is(n)=my(d=Set(digits(n)), t); if(#d<2 || d[1]==0, return(0)); t=n%d[1]; if(t==0, return(0)); for(i=2, #d, if(n%d[i]!=t, return(0))); 1 \\ Charles R Greathouse IV, Feb 15 2017

CROSSREFS

Subsequence of A052382.

Sequence in context: A098591 A138665 A271799 * A142386 A102950 A143801

Adjacent sequences:  A152821 A152822 A152823 * A152825 A152826 A152827

KEYWORD

nonn,base,easy

AUTHOR

J. M. Bergot, Dec 13 2008

EXTENSIONS

Corrected and extended by Joshua Zucker and Robert G. Wilson v, Dec 14 2008

Corrected and extended by Joshua Zucker, Dec 14 2008

STATUS

approved

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Last modified June 28 20:13 EDT 2017. Contains 288840 sequences.