Surf Wiki
Save to docs
general/integers

From Surf Wiki (app.surf) — the open knowledge base

168 (number)

FieldValue
number168
divisor1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

168 (one hundred [and] sixty-eight) is the natural number following 167 and preceding 169.

Mathematics

168 is a Dedekind number, and an idoneal numbers, and a Cunningham number,.

Abstract algebra

168 is the order of the second smallest nonabelian simple group \mathrm {PSL}(2,7). From Hurwitz's automorphisms theorem, 168 is the maximum possible number of automorphisms of a genus 3 Riemann surface, this maximum being achieved by the Klein quartic, whose symmetry group is \mathrm {PSL}(2,7).

In other fields

Numerology

Some Chinese consider 168 a lucky number, because 一六八 ("168") Mandarin is roughly homophonous with the phrase "一路發" Mandarin which means "fortune all the way", or, as the United States Mint claims, "Prosperity Forever".

References

References

  1. {{Cite OEIS. A000372. Dedekind numbers: number of monotone Boolean functions of n variables, number of antichains of subsets of an n-set, number of elements in a free distributive lattice on n generators, number of Sperner families.
  2. "Sloane's A000926 : Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers)". OEIS Foundation.
  3. "week214".
  4. "$1 Prosperity Forever 168 Note - US Mint".
Info: Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

integers
Want to explore this topic further?

Ask Mako anything about 168 (number) — get instant answers, deeper analysis, and related topics.

Research with Mako

Free with your Surf account

Content sourced from Wikipedia, available under CC BY-SA 4.0.

This content may have been generated or modified by AI. CloudSurf Software LLC is not responsible for the accuracy, completeness, or reliability of AI-generated content. Always verify important information from primary sources.

Report