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Electrolytic capacitor lifetime rating

If you search through the electrolytic capacitor offerings from distributors like Farnell, RS, Digikey or Mouser, you find that the maximum life-time rating is commonly quoted as 5,000 or 10,000 hours at such and such a temperature.
~~If I divide 10,000 hours by 24, I get 417 days = 1.14 years. This cannot be a realistic life-time prediction so, how do I make sense of this number?~~

If you search through the electrolytic capacitor offerings from distributors like Farnell, RS, Digikey or Mouser, you find that the maximum life-time rating is commonly quoted as 5,000 or 10,000 hours at such and such a temperature.
If I divide 10,000 hours by 24, I get 417 days = 1.14 years. This cannot be a realistic life-time prediction, so how do I make sense of this number?

datasheet capacitor electrolytic-capacitor life-time

datasheet capacitor electrolytic-capacitor life-time