The squarefree part of a positive integer is the quotient obtained by dividing it by its square part.
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 22-nd, the 23-th and the 24-th Smarandache's Problems." Notes on Number Theory and Discrete Mathematics5,
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
