World Library  
Flag as Inappropriate
Email this Article

227 (number)

Article Id: WHEBN0002296403
Reproduction Date:

Title: 227 (number)  
Author: World Heritage Encyclopedia
Language: English
Subject: List of prime numbers, 228 (number), 226 (number), Stern prime, 220 (number)
Collection: Integers
Publisher: World Heritage Encyclopedia
Publication
Date:
 

227 (number)

226 227 228
Cardinal two hundred twenty-seven
Ordinal 227th
(two hundred and twenty-seventh)
Factorization 227
Prime yes
Roman numeral CCXXVII
Binary 111000112
Ternary 221023
Quaternary 32034
Quinary 14025
Senary 10156
Octal 3438
Duodecimal 16B12
Hexadecimal E316
Vigesimal B720
Base 36 6B36

227 is the natural number between 226 and 228. It is also a prime number.

In mathematics

227 is a twin prime and the start of a prime triplet (with 229 and 233).[1] It is a safe prime, as dividing it by two and rounding down produces the Sophie Germain prime 113.[2] It is also a regular prime,[3] a Pillai prime,[4] a Stern prime,[5] and a Ramanujan prime.[6]

The 227th harmonic number is the first to exceed six.[7] There are 227 different connected graphs with eight edges,[8] and 227 independent sets in a 3 × 4 grid graph.[9]

See also

References

  1. ^ "Sloane's A022004 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "Sloane's A005385 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "Sloane's A007703 : Regular primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ "Sloane's A063980 : Pillai primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A042978 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ "Sloane's A104272 : Ramanujan primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ "Sloane's A002387 : Least k such that H(k) > n, where H(k) is the harmonic number sum_{i=1..k} 1/i", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ "Sloane's A002905 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ "Sloane's A051736 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.