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{{refimprove|date=August 2012}}
{{refimprove|date=August 2012}}
{{Infobox number
'''242''' is the [[natural number]] following [[241 (number)|241]] and preceding [[243 (number)|243]].
| number = 242

}}
{| border="1" style="float: right; border-collapse: collapse;"
'''242''' ('''two hundred [and] forty-two''') is the [[natural number]] following [[241 (number)|241]] and preceding [[243 (number)|243]].
|-----
| 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>
|-----
| [[Divisor]]s || 1, 2, 11, 22, 121
|-----
| [[Roman numeral]] || CCXLII
|-----
| [[Binary numeral system|Binary]] || 11110010
|-----
| [[Hexadecimal]] || F2
|}

==In mathematics==


242 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>
242 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>
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242 is a [[palindrome]].
242 is a [[palindrome]].


242 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>
==In other fields==


242 is the difference between [[355 (number)|355]] and [[113 (number)|113]], two numbers used in an [[approximation]] of [[pi]],
242 is also:

* part of the name of a Belgian [[electronic body music]] group called [[Front 242]]
<math>\frac {355}{113} = 3.14159292035 \ldots</math>
* the number of a notable UN Security Council resolution pertaining to the Arab/Israeli conflict, [[United Nations Security Council Resolution 242]]

* The [[telephone numbering plan|area code]] of [[The Bahamas]] located in the North West Atlantic Ocean.
(This fraction is slightly larger than <math>\pi</math>, by a factor of around <math>0.000000266764\dots</math>)
* [[Volvo 242]] (2xx-series, 4-cylinder, 2-door) Produced from 1974-1984.5

* A rumored time for the release of Radiohead's pre-sale for their 2012 tour.
242 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]].
* The total number of Power Stars a player can collect in ''[[Super Mario Galaxy 2]]'' for the [[Wii]].


==References==
==References==
{{reflist}}
<references/>

{{Integers|2}}


[[Category:Integers]]
[[Category:Integers]]

Latest revision as of 17:31, 9 June 2024

← 241 242 243 →
Cardinaltwo hundred forty-two
Ordinal242nd
(two hundred forty-second)
Factorization2 × 112
Greek numeralΣΜΒ´
Roman numeralCCXLII
Binary111100102
Ternary222223
Senary10426
Octal3628
Duodecimal18212
HexadecimalF216

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,

(This fraction is slightly larger than , by a factor of around )

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

References

[edit]
  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.