

A175758


Numbers n with property that arithmetic mean of its digits is both an integer and one of the prime factors of n.


1



2, 3, 5, 7, 15, 22, 24, 33, 40, 42, 51, 55, 60, 77, 108, 114, 117, 126, 132, 135, 144, 150, 153, 162, 171, 180, 195, 204, 207, 216, 222, 225, 234, 240, 243, 252, 261, 270, 285, 306, 312, 315, 324, 330, 333, 342, 351, 360, 375, 399, 402, 405, 414, 420, 423, 432
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OFFSET

1,1


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


EXAMPLE

15 is in the list because (1+5)/2=3 and 3 is a prime factor of 15.


MATHEMATICA

ipfQ[n_]:=Module[{m=Mean[IntegerDigits[n]]}, IntegerQ[m]&&MemberQ[ FactorInteger[ n][[All, 1]], m]]; Select[Range[2, 500], ipfQ] (* Harvey P. Dale, Feb 15 2020 *)


CROSSREFS

Cf. A027746, A175688.
Sequence in context: A331037 A228652 A157833 * A151531 A335203 A079987
Adjacent sequences: A175755 A175756 A175757 * A175759 A175760 A175761


KEYWORD

nonn,base


AUTHOR

JuriStepan Gerasimov, Aug 28 2010, Aug 29 2010


EXTENSIONS

399 inserted by D. S. McNeil, Sep 27 2010


STATUS

approved



