242 (number): Difference between revisions

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Cardinal	two hundred forty-two
Ordinal	242nd; (two hundred forty-second)
Factorization	2 × 112
Greek numeral	ΣΜΒ´
Roman numeral	CCXLII
Binary	111100102
Ternary	222223
Senary	10426
Octal	3628
Duodecimal	18212
Hexadecimal	F216

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Latest revision as of 17:31, 9 June 2024

242 (two hundred [and] forty-two) is the natural number following 241 and preceding 243.

242 is the smallest integer to start a run of four consecutive integers with the same number of divisors.^[1]^[2]

242 is a nontotient since there is no integer with 242 coprimes below it.

242 is a palindrome.

242 is the number of parallelogram polyominoes with 8 cells.^[3]

242 is the difference between 355 and 113, two numbers used in an approximation of pi,

${\frac {355}{113}}=3.14159292035\ldots$

(This fraction is slightly larger than $\pi$ , by a factor of around $0.000000266764\dots$ )

242 is the sum of elements in a 5-orthoplex: 32 polychora, 80 cells, 80 faces, 40 edges, and 10 vertices.

References

^ R. K. Guy Unsolved Problems in Number Theory, section B18.
^ D. Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, NY, 1986: 147, 176.
^ Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

This article about a number is a stub. You can help Wikipedia by expanding it.

[1] R. K. Guy Unsolved Problems in Number Theory, section B18.

[2] D. Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, NY, 1986: 147, 176.

[3] Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

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@@ Line 1: / Line 1: @@
+{{refimprove|date=August 2012}}
-'''242''' is the [[natural number]] following [[241 (number)|241]] and preceding 243.
+{{Infobox number
+| number = 242
+}}
+'''242''' ('''two hundred [and] forty-two''') is the [[natural number]] following [[241 (number)|241]] and preceding [[243 (number)|243]].
+is the smallest integer to start a run of four consecutive integers with the same number of divisors.<ref>R. K. Guy ''Unsolved Problems in Number Theory'', section B18.</ref><ref>D. Wells, ''[[The Penguin Dictionary of Curious and Interesting Numbers]],'' Penguin Books, NY, 1986: 147, 176.</ref>
+is a [[nontotient]] since there is no integer with 242 [[coprime]]s below it.
-{| border="1" style="float: right; border-collapse: collapse;"
-|-----
-| colspan="2" | {{Numbers_0-1000}}
-|-----
-| [[Cardinal number|Cardinal]] || Two hundred [and] forty two
-|-----
-| [[Ordinal number|Ordinal]] || 242nd
-|-----
-| [[Factorization]]
-<td><math>2 \cdot 11^2</math>
-|-----
+is a [[palindrome]].
-| [[Divisor]]s ||  1, 2, 11, 22, 121
+is the number of parallelogram polyominoes with 8 cells.<ref>{{cite OEIS|A006958|Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused)}}</ref>
-|-----
-| [[Roman numeral]] || CCXLII
-|-----
-| [[Binary numeral system|Binary]] || 11110010
-|-----
-| [[Hexadecimal]] || F2
-|}
+is the difference between [[355 (number)|355]] and [[113 (number)|113]], two numbers used in an [[approximation]] of [[pi]],
-==In mathematics==
+<math>\frac {355}{113} = 3.14159292035 \ldots</math>
-is the smallest integer to start a run of four consecutive integers with the same number of divisors.<ref>R. K. Guy ''Unsolved Problems in Number Theory'', section B18.</ref><ref>D. Wells, ''The Penguin Dictionary of Curious and Interesting Numbers,'' Penguin Books, NY, 1986: 147, 176.</ref>
+(This fraction is slightly larger than <math>\pi</math>, by a factor of around <math>0.000000266764\dots</math>)
-is a [[nontotient]] since there is no integer with 242 [[coprime]]s below it.
+is the sum of [[Polytope#Elements|elements]] in a [[5-orthoplex]]: 32 [[polychora]], 80 [[Polytope#Elements|cells]], 80 [[Face (geometry)|faces]], 40 [[Edge (geometry)|edges]], and 10 [[Vertex (geometry)|vertices]].
-is a [[palindrome]].
-==In other fields==
+==References==
+{{reflist}}
+{{Integers|2}}
-is also:
-* part of the name of a Belgian electronic music group called [[Front 242]]
-* the number of a notable UN Security Council resolution pertaining to the Arab/Israeli conflict, [[United Nations Security Council Resolution 242]]
-* The area code of The Bahamas located in the North West Atlantic Ocean.
-* Volvo 242. (2xx-series, 4-cylinder, 2-door) Produced from 1975-1984.5
+[[Category:Integers]]
-==References==
-<references/>
-[[Category:Integers]]
 {{num-stub}}
-[[co:242 (numeru)]]
-[[fr:242 (nombre)]]
-[[ko:242]]
-[[ht:242 (nonm)]]
-[[ja:242]]
-[[no:242 (tall)]]