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A167410 Disorderly Numbers: numbers not in A167408 (orderly numbers). 4
3, 4, 6, 10, 14, 15, 16, 18, 21, 22, 24, 25, 26, 28, 30, 32, 33, 34, 35, 36, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 54, 55, 56, 60, 62, 63, 64, 65, 66, 69, 70, 74, 75, 77, 78, 80, 81, 82, 84, 85, 86, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

A. Weimholt, Table of n, a(n) for n=1,...,10000

EXAMPLE

3 is disorderly because there exists no K > 2=tau(3), such that {1,3} == {1,2} mod K.

MATHEMATICA

orderlyQ[n_] := (For[dd = Divisors[n]; tau = Length[dd]; k = 3, k <= Max[tau + 4, Last[dd] - 2], k++, If[Union[Mod[dd, k]] == Range[tau], Return[True]]]; False); Select[Range[120], !orderlyQ[#]&] (* Jean-François Alcover, Nov 03 2016 *)

CROSSREFS

Cf. A167408 - Orderly Numbers

Cf. A167409 - Very Orderly Numbers ( K = tau(N)+1 )

Cf. A167411 - Minimal K Values for the Orderly Numbers

Sequence in context: A240577 A074321 A253049 * A302340 A310003 A085378

Adjacent sequences: A167407 A167408 A167409 * A167411 A167412 A167413

KEYWORD

nonn

AUTHOR

Andrew Weimholt, Nov 03 2009

STATUS

approved

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Last modified December 9 04:13 EST 2022. Contains 358698 sequences. (Running on oeis4.)