242 (number)

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Script error: No such module "Unsubst". Template:Infobox number 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[3] since there is no integer with 242 coprimes below it.

242 is a palindrome.[4]

242 is the number of parallelogram polyominoes with 8 cells.[5]

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

355113=3.14159292035

(This fraction is slightly larger than π, by a factor of around 0.000000266764)

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

References

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  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.
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