That part of a positive integer left after all square factors are divided out. For example, the squarefree part of is 6, since . For , 2, ..., the first few are 1, 2, 3, 1, 5, 6, 7, 2, 1, 10,
... (OEIS A007913). The squarefree part function
can be implemented in the Wolfram Language
as
SquarefreePart[n_Integer?Positive] :=
Times @@ Power @@@ ({#[[1]], Mod[#[[2]], 2]}& /@
FactorInteger[n])
Atanassov, K. "On the 22nd, 23rd, and the 24th Smarandache Problems. Notes on Number Theory and Discrete Mathematics, Sophia, Bulgaria5,
80-82, 1999.Atanassov, K. On
Some of the Smarandache's Problems. Lupton, AZ: American Research Press,
pp. 16-21, 1999.Sloane, N. J. A. Sequence A007913
in "The On-Line Encyclopedia of Integer Sequences."Smarandache,
F. Only
Problems, Not Solutions!, 4th ed. Phoenix, AZ: Xiquan, 1993.
is 6, since 
. For 
, 2, ..., the first few are 1, 2, 3, 1, 5, 6, 7, 2, 1, 10,
... (OEIS A007913). The squarefree part function
can be implemented in the Wolfram Language
as
