242 (number): Difference between revisions
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{{Infobox number |
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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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<table border=1 style="float: right; border-collapse: collapse;"> |
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<tr><td colspan=2>{{Numbers_0-1000}} |
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<tr><td>[[Cardinal number|Cardinal]]<td>Two hundred [and] forty two |
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<tr><td>[[Ordinal number|Ordinal]]<td>242nd |
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<tr><td>[[Factorization]]<td><math>2 \cdot 11^2</math> |
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<tr><td>[[Roman numeral]]<td>CCXLII |
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<tr><td>[[Binary numeral system|Binary]]<td>11110010 |
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<tr><td>[[Hexadecimal]]<td>F2 |
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</table> |
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==In mathematics== |
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242 is a [[palindrome]]. |
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242 is the smallest integer to start a run of four consecutive integers with the same number of divisors. |
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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> |
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242 is the difference between [[355 (number)|355]] and [[113 (number)|113]], two numbers used in an [[approximation]] of [[pi]], |
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<math>\frac {355}{113} = 3.14159292035 \ldots</math> |
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(This fraction is slightly larger than <math>\pi</math>, by a factor of around <math>0.000000266764\dots</math>) |
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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]]. |
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==References== |
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{{reflist}} |
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{{Integers|2}} |
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[[Category:Integers]] |
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==In other fields== |
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{{num-stub}} |
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242 is also: |
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* part of the name of a Belgian electronic music called [[Front 242]] |
Latest revision as of 17:31, 9 June 2024
This article needs additional citations for verification. (August 2012) |
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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 |
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]- ^ 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.