Is there a sub-category limit?

Does categories have a limit on the number of sub-categories?

I need to create a collection, some of the content might be up to four levels deep. It could look like this:

• Category 1
  • Sub category 1
  • Item
  • Item
  • Item
    • Sub category 2
    • Item
    • Item
    • Item
      • Sub category 3
      • Item
      • Item
      • Item
        • Sub category 4
        • Item
        • Item
        • Item
• Category 2
  • Sub category 1
  • Item
  • Item
  • Item
    • Sub category 2
    • Item
    • Item
    • Item
• Category 3
  • Sub category 1
  • Item
  • Item
  • Item
    • Sub category 2
    • Item
    • Item
    • Item
      • Sub category 3
      • Item
      • Item
      • Item
        • Sub category 4
        • Item
        • Item
        • Item