Numberwise

508

508 is the HTTP status code Loop Detected — the server gave up because the operation was circular.

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Where 508 fits

Where 508 fits: TechnologyTechnology: HTTP status codes.TechnologyHTTP status codes508
508 connects to 1 world: technology.

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.

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
Scientific notation
5.080 × 10^2

Roman numerals

D V I I I

Binary

1 1 1 1 1 1 1 0 0

1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 508

Octal

7 7 4

7 × 64 + 7 × 8 + 4 × 1 = 508

Hexadecimal

1 f c

1 × 256 + f × 16 + c × 1 = 508

Read as powers of two: 256 + 128 + 64 + 32 + 16 + 8 + 4 = 508.

In historical numeral systems

Egyptian

5 coils of rope, 8 strokes

5 × 100 + 8 × 1 = 508. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

8 vertical wedges (sixties place), 2 corner wedges + 8 vertical wedges (units place)

8 × 60 + 28 = 508. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

phi, then eta, marked as a numeral

phi-eta + keraia

phi + eta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.

Hebrew numerals

tav, then qof, then het

tav-qof-het

tav (400) + qof (100) + het (8) = 508, written in descending order.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Deficient number

Related numbers & connections

Documented appearance
508 reports that completing the request would loop indefinitely, a condition WebDAV bindings make possible.

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".

How is 508 connected to another number? →

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: 15 July 2026