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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 February 27 21:02 EST 2024. Contains 370378 sequences. (Running on oeis4.)