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Divisors




Mathematica Notation

Traditional Notation









Number Theory Functions > Divisors[n] > Specific values > Values at fixed points





http://functions.wolfram.com/13.02.03.0056.01









  


  








Input Form





Divisors[5 + 20 I] == {1, 1 + 2 I, 1 + 4 I, 2 + I, 5, 5 + 20 I, 6 + 7 I, 9 + 2 I}








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Divisors", "[", RowBox[List["5", "+", RowBox[List["20", "\[ImaginaryI]"]]]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["1", ",", RowBox[List["1", "+", RowBox[List["2", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["1", "+", RowBox[List["4", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["2", "+", "\[ImaginaryI]"]], ",", "5", ",", RowBox[List["5", "+", RowBox[List["20", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["6", "+", RowBox[List["7", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["9", "+", RowBox[List["2", " ", "\[ImaginaryI]"]]]]]], "}"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> divisors </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> + </mo> <mrow> <mn> 20 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> { </mo> <mrow> <mn> 1 </mn> <mo> , </mo> <mrow> <mn> 1 </mn> <mo> + </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> <mo> , </mo> <mrow> <mn> 1 </mn> <mo> + </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> <mo> , </mo> <mrow> <mn> 2 </mn> <mo> + </mo> <mi> &#8520; </mi> </mrow> <mo> , </mo> <mn> 5 </mn> <mo> , </mo> <mrow> <mn> 5 </mn> <mo> + </mo> <mrow> <mn> 20 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> <mo> , </mo> <mrow> <mn> 6 </mn> <mo> + </mo> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> <mo> , </mo> <mrow> <mn> 9 </mn> <mo> + </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> </mrow> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> divisors </ci> <cn type='complex-cartesian'> 5 <sep /> 20 </cn> </apply> <list> <cn type='integer'> 1 </cn> <cn type='complex-cartesian'> 1 <sep /> 2 </cn> <cn type='complex-cartesian'> 1 <sep /> 4 </cn> <apply> <plus /> <cn type='integer'> 2 </cn> <imaginaryi /> </apply> <cn type='integer'> 5 </cn> <cn type='complex-cartesian'> 5 <sep /> 20 </cn> <cn type='complex-cartesian'> 6 <sep /> 7 </cn> <cn type='complex-cartesian'> 9 <sep /> 2 </cn> </list> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Divisors", "[", RowBox[List["5", "+", RowBox[List["20", " ", "\[ImaginaryI]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", RowBox[List["1", ",", RowBox[List["1", "+", RowBox[List["2", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["1", "+", RowBox[List["4", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["2", "+", "\[ImaginaryI]"]], ",", "5", ",", RowBox[List["5", "+", RowBox[List["20", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["6", "+", RowBox[List["7", " ", "\[ImaginaryI]"]]]], ",", RowBox[List["9", "+", RowBox[List["2", " ", "\[ImaginaryI]"]]]]]], "}"]]]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29