A090058 - OEIS

A090058

Numbers n divisible by exactly three nontrivial permutations (rearrangements) of the digits of n.

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.

Chuck Seggelin, Numbers Divisible by Digit Permutations.

EXAMPLE

60912 is a term 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,more

AUTHOR

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

STATUS

approved