Skip to main content
MathOverflow

Return to Question

replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
Source Link
Community Bot
Community Bot
  • 1
  • 2
  • 3

Inspired with this PROBLEMPROBLEM I am interested in those natural numbers that the set of their divisors can be partitioned into two sets with equal product. For example we can decompose divisors of $8$ into $\lbrace 1,8\rbrace$ and $\lbrace 2,4\rbrace$. Is the sequence of this numbers well-known? Is there any characterization for them ? Any suggestion would be helpful.

Inspired with this PROBLEM I am interested in those natural numbers that the set of their divisors can be partitioned into two sets with equal product. For example we can decompose divisors of $8$ into $\lbrace 1,8\rbrace$ and $\lbrace 2,4\rbrace$. Is the sequence of this numbers well-known? Is there any characterization for them ? Any suggestion would be helpful.

Inspired with this PROBLEM I am interested in those natural numbers that the set of their divisors can be partitioned into two sets with equal product. For example we can decompose divisors of $8$ into $\lbrace 1,8\rbrace$ and $\lbrace 2,4\rbrace$. Is the sequence of this numbers well-known? Is there any characterization for them ? Any suggestion would be helpful.

Source Link
user38138
user38138

Partitioning the set of divisors into two sets with equal product

Inspired with this PROBLEM I am interested in those natural numbers that the set of their divisors can be partitioned into two sets with equal product. For example we can decompose divisors of $8$ into $\lbrace 1,8\rbrace$ and $\lbrace 2,4\rbrace$. Is the sequence of this numbers well-known? Is there any characterization for them ? Any suggestion would be helpful.