416
HTTP 416 Range Not Satisfiable means the client asked for a byte range that lies outside the file.
- Even
- Composite
Where 416 fits
Why 416 is special
416 is the failure case of the same mechanism that makes video seeking and resumable downloads work. A client that has cached a stale file size will ask for bytes that no longer exist, and 416 is how the server says so rather than returning the wrong part of the file.
Not just a mathematical number
416is 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 (12)
- 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
- Prime factorisation
- 2^5 × 13
- Digit sum
- 11
- Digital root
- 2
Representations
- Decimal
- 416
- Binary
- 110100000
- Octal
- 640
- Hexadecimal
- 1a0
- Roman numeral
- CDXVI
- Scientific notation
- 4.160 × 10^2
Other mathematical patterns
- Abundant number
Related numbers & connections
416 rejects a range request that falls outside the file, the error half of the mechanism 206 satisfies.
206 answers a valid range request; 416 rejects one that falls outside the file. Both belong to the same partial-content mechanism.
View 206 →Numbers Around Us
- appears inHTTP status codes
why?
Strength 0.50, confidence "high".
Other connections
- is associated with206
why?
Strength 0.50, confidence "high".
Technology & computing
CWE-416 is use after free: a pointer is retained past the deallocation of what it refers to. Exploitation typically involves arranging for attacker-controlled data to occupy the freed region.
DocumentedTechnology & computingGeography: International — MITRE CWEPeriod: 2006–416 is the rejection half of range requests: the client asked for a slice of a file that does not exist, usually because it cached an old size and the file has since shrunk. Returning the nearest valid bytes instead would corrupt the download silently, which is why the specification requires an error.
DocumentedTechnology & computing
Common questions
Is 416 a prime number?
No, 416 is not prime.
What are the factors of 416?
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.
What is 416 in Roman numerals?
416 in Roman numerals is CDXVI.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 3 August 2026