#jsDisabledContent { display:none; } My Account | Register | Help

# 213 (number)

Article Id: WHEBN0000834364
Reproduction Date:

 Title: 213 (number) Author: World Heritage Encyclopedia Language: English Subject: Collection: Integers Publisher: World Heritage Encyclopedia Publication Date:

### 213 (number)

 ← 212 213 214 →
Cardinal two hundred thirteen
Ordinal 213th
(two hundred and thirteenth)
Factorization 3 × 71
Divisors 1, 3, 71, 213
Roman numeral CCXIII
Binary 110101012
Ternary 212203
Quaternary 31114
Quinary 13235
Senary 5536
Octal 3258
Duodecimal 15912
Base 36 5X36

213 (two hundred and thirteen) is the number following 212 and preceding 214.

It is the smallest of a triple consecutive numbers that are products of two distinct prime numbers: 213 = 3 × 71, 214 = 2 × 107, and 215 = 5 × 43.[1] Its square is a sum of distinct factorials: 2132 = 45369 = 1! + 2! + 3! + 7! + 8!.[2]

## References

1. ^ "Sloane's A039833 : Smallest of three consecutive squarefree numbers n, n+1, n+2 of the form p*q where p and q are primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
2. ^ "Sloane's A014597 : Numbers n such that n^2 is a sum of distinct factorials", 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.