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'''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]].


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>
<table border=1 style="float: right; border-collapse: collapse;">
<tr><td colspan=2>{{Numbers_0-1000}}
<tr><td>[[Cardinal number|Cardinal]]<td>Two hundred [and] forty two
<tr><td>[[Ordinal number|Ordinal]]<td>242nd
<tr><td>[[Factorization]]<td><math>2 \cdot 11^2</math>
<tr><td>[[Roman numeral]]<td>CCXLII
<tr><td>[[Binary numeral system|Binary]]<td>11110010
<tr><td>[[Hexadecimal]]<td>F2
</table>


242 is a [[nontotient]] since there is no integer with 242 [[coprime]]s below it.
==In mathematics==


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


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>
242 is a [[nontotient]] since there is no integer with 242 [[coprime]]s below it.

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

<math>\frac {355}{113} = 3.14159292035 \ldots</math>

(This fraction is slightly larger than <math>\pi</math>, by a factor of around <math>0.000000266764\dots</math>)

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]].

==References==
{{reflist}}

{{Integers|2}}


[[Category:Integers]]
==In other fields==


{{num-stub}}
242 is also:
* part of the name of a Belgian electronic music called [[Front 242]]

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.