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A090058 Numbers n divisible by exactly three nontrivial permutations (rearrangements) of the digits of n. 4
4050, 8100, 10500, 10530, 10800, 34020, 51000, 54000, 60912, 68040, 70300, 80190, 95040, 100100, 100500, 100800, 102000, 105030 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Trivial permutations are identified as (1) permutation = n, or (2) when n mod 10=0, permutations of n's digits which result in shifting only trailing zeros to the most significant side of n where they drop off, such that permutation = n/10^z, where z <= the number of trailing zeros of n. So if n were 1809000, the following permutations would be excluded as trivial: 1809000, 0180900, 0018090, 0001809.

LINKS

Table of n, a(n) for n=1..18.

C. Seggelin, Numbers Divisible by Digit Permutations.

EXAMPLE

a(9)=60912 because 60912 is divisible by 1269, 1296 and 1692, three nontrivial permutations of 60912.

CROSSREFS

Cf. A090055, A090057, A090059, A090060, A090061.

Sequence in context: A252809 A202313 A001382 * A251032 A035782 A108006

Adjacent sequences:  A090055 A090056 A090057 * A090059 A090060 A090061

KEYWORD

nonn,base

AUTHOR

Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003

STATUS

approved

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Last modified September 25 22:56 EDT 2022. Contains 356986 sequences. (Running on oeis4.)