507
507 is the HTTP status code Insufficient Storage — the server cannot store what the request requires.
- Odd
- Composite
Where 507 fits
Why 507 is special
507 came from WebDAV, where the protocol genuinely manages remote file storage and running out of space is an ordinary outcome rather than a crash. Outside WebDAV it appears occasionally on hosted platforms that have hit a quota, which is closer to its intent than most borrowed status codes get.
Not just a mathematical number
507is 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, 3, 13, 39, 169, 507
- Prime factorisation
- 3 × 13^2
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 507
- Scientific notation
- 5.070 × 10^2
Roman numerals
D V I I
Binary
1 1 1 1 1 1 0 1 1
1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 507
Octal
7 7 3
7 × 64 + 7 × 8 + 3 × 1 = 507
Hexadecimal
1 f b
1 × 256 + f × 16 + b × 1 = 507
Read as powers of two: 256 + 128 + 64 + 32 + 16 + 8 + 2 + 1 = 507.
In historical numeral systems
Egyptian
5 coils of rope, 7 strokes
5 × 100 + 7 × 1 = 507. 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 + 7 vertical wedges (units place)
8 × 60 + 27 = 507. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
phi, then zeta, marked as a numeral
phi-zeta + keraia
phi + zeta 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 zayin
tav-qof-zayin
tav (400) + qof (100) + zayin (7) = 507, 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
507 reports that the server has no room to store what the request requires — a capacity failure rather than a permissions one.
Numbers Around Us
- appears inHTTP status codes
why?
Strength 0.50, confidence "high".
Technology & computing
507 comes from WebDAV and reports that the server cannot store the representation needed to complete the request — a disk or quota problem rather than an authorisation one. It gives a client something more actionable than a bare 500.
DocumentedTechnology & computing
Common questions
Is 507 a prime number?
No, 507 is not prime.
What are the factors of 507?
The factors of 507 are 1, 3, 13, 39, 169, 507.
What is 507 in Roman numerals?
507 in Roman numerals is DVII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026