508
508 is the HTTP status code Loop Detected — the server gave up because the operation was circular.
- Even
- Composite
Where 508 fits
Why 508 is special
508 is the answer to a directory that contains itself. WebDAV operations can traverse collections, and a symbolic link pointing back up the tree turns a copy into an infinite one. Detecting the loop and reporting it beats recursing until something runs out.
Same number, different meanings
How 508 is understood across different contexts — never implying one meaning because of another.
- Mathematics
508 is the answer to a directory that contains itself. WebDAV operations can traverse collections, and a symbolic link pointing back up the tree turns a copy into an infinite one. Detecting the loop and reporting it beats recursing until something runs out.
- Technology & computing
Taipei 101 reaches 508 metres and contains a 660-tonne tuned mass damper suspended near the top, one of the few such devices left visible to visitors.
- Geography
+508 reaches Saint Pierre and Miquelon, French islands a few kilometres from Canada. They are the only part of New France still under French sovereignty.
Not just a mathematical number
508is also used in ways where ordinary arithmetic doesn't apply — each listed below with what genuinely does and doesn't follow from it.
- Mathematical number
A genuine quantity — its mathematical properties (prime, square, factors, and so on) are real facts about it.
A genuine quantity that ordinary arithmetic applies to — it can be prime, even, a perfect square, added to another number meaningfully, and so on.
- Code
Also used as a code — HTTP status codes.
An assigned identifier from a fixed registry or standard — its digits don't represent an amount, and arithmetic on it is meaningless (HTTP status 404 + 1 is not a 'better' status; it's a different, unrelated code).
Factors & digit properties
- Divisors (6)
- 1, 2, 4, 127, 254, 508
- Prime factorisation
- 2^2 × 127
- Digit sum
- 13
- Digital root
- 4
Representations
- Decimal
- 508
- Binary
- 111111100
- Octal
- 774
- Hexadecimal
- 1fc
- Roman numeral
- DVIII
- Scientific notation
- 5.080 × 10^2
Other mathematical patterns
- Deficient number
Related numbers & connections
508 reports that completing the request would loop indefinitely, a condition WebDAV bindings make possible.
Numbers Around Us
- appears inHTTP status codes
why?
Strength 0.50, confidence "high".
Technology & computing
Taipei 101 reaches 508 metres and contains a 660-tonne tuned mass damper suspended near the top, one of the few such devices left visible to visitors.
DocumentedTechnology & computingGeography: TaiwanPeriod: 2004–508 reports that processing a request would recurse indefinitely, typically through WebDAV bindings that reference each other. Detecting the loop and reporting it is better than the alternative, which is a request that never returns.
DocumentedTechnology & computing
Geography
+508 reaches Saint Pierre and Miquelon, French islands a few kilometres from Canada. They are the only part of New France still under French sovereignty.
DocumentedGeographyGeography: Saint Pierre and Miquelon
Common questions
Is 508 a prime number?
No, 508 is not prime.
What are the factors of 508?
The factors of 508 are 1, 2, 4, 127, 254, 508.
What is 508 in Roman numerals?
508 in Roman numerals is DVIII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 3 August 2026