500 (number)
natural number
500 (five hundred) is the natural number following 499 and preceding 501.
Mathematical properties
500 = 22 × 53. It is an Achilles number, meaning that it is divisible by the squares of its prime factors (i.e. 4 and 25) but is not a power itself, and a Harshad number, meaning it is divisible by the sum of its digits. It is the number of planar partitions of 10.
Integers from 501 to 599
500s
501
502
502 = 2 × 251. It is a vertically symmetric number.
503
503 is a prime number, a safe prime, a Chen prime, an Eisenstein prime with no imaginary part, an index of a prime Lucas number, and an isolated prime. It is the sum of three consecutive primes (163 + 167 + 173) and the sum of the cubes of the first four primes.
504
504 = 23 × 32 × 7.
Begin with the source’s own compact description: “500 (number)” is natural number. The dossier treats that line as a proposition to test through number and natural, not as a finished interpretation.
Why this record matters
The phrase “natural number” supplies a clear boundary for inquiry. It also exposes the unanswered questions: who defined that boundary, when it became stable and which sources sit outside it.
Named sources, stable identifiers and responsible institutions provide the strongest route from overview to verifiable evidence. The source revision retrieved here is dated Sep 8, 2026. The linked authority identifier is Q207742. None of the 0 selected statements returned an explicit reference.
Overview language is designed for orientation and should not be treated as a substitute for the evidence cited beneath it. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.
How to read it
Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.
- Subject orientation
- Search vocabulary
- Locating named sources
The closest primary source, responsible institution and strongest cited specialist reference.
Three-step research path
- Establish the record: confirm the title “500 (number)”, its source revision and the description used here.
- Expand the search: follow 500 (number) primary sources, 500 (number) archive and number research across catalogues and specialist indexes.
- Test the account: compare the strongest cited source with the responsible institution’s current record and note any disagreement.
Questions for further research
- Which source most directly establishes the central claim about “500 (number)”?
- Which institution is responsible for the underlying evidence?
- Which cited source is closest to the event, object or claim?
Search terms from this dossier
This entry incorporates text from “500 (number)” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.