A385703 Numbers such that when the leftmost digit is moved to the unit's place the result is divisible by 8.

0, 8, 23, 27, 42, 46, 61, 65, 69, 80, 84, 88, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 255, 259, 263, 267, 271, 275, 279, 283, 287, 291, 295, 299, 402, 406, 410, 414, 418, 422, 426, 430, 434, 438, 442, 446, 450, 454, 458, 462, 466, 470, 474

Offset

1,2

Links

Stefano Spezia, Table of n, a(n) for n = 1..10000

Example

458 is a term since 584 = 73*8 is divisible by 8.

Mathematica

Select[Range[0, 475], Divisible[FromDigits[RotateLeft[IntegerDigits[#]]], 8] &]

Prog

(PARI) isok(k) = if (k==0, return(1)); my(d=digits(k), v = vector(#d-1, i, d[i+1])); v = concat(v, d[1]); fromdigits(v) % 8 == 0; \\ Michel Marcus, Jul 08 2025
(Python)
def ok(n): return int((s:=str(n))[1:]+s[0])%8 == 0
print([k for k in range(500) if ok(k)]) # Michael S. Branicky, Jul 08 2025

Crossrefs

Similar sequences for k=1..9: A001477, A273892, A008585, A385700, A217398, A385701, A385702, this sequence, A008591.

Sequence in context: A029755 A022420 A326741 * A034811 A283848 A341770

Adjacent sequences: A385700 A385701 A385702 * A385704 A385705 A385706

Keyword

nonn,base,easy

Author

Stefano Spezia, Jul 07 2025

Status

approved