Factor Product Formula

The product of the proper positive integer factors of $ n $ can be written as $ n^{(ax+b)/c} $, where $ x $ is the number of positive divisors $ n $ has, $ c $ is a positive integer, and the greatest common factor of the three integers $ a $, $ b $, and $ c $ is $ 1 $. What is $ a+b+c $?

  • 1
  • 2
  • 3
  • +
  • 4
  • 5
  • 6
  • -
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  • 8
  • 9
  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$