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242 (number)

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242

← 240 241 242 243 244 245 246 247 248 249 →

List of numbers

← 0 100 200 300 400 500 600 700 800 900 →

two hundred forty-two

242nd
(two hundred forty-second)

2 × 11²

ΣΜΒ´

CCXLII

11110010₂

22222₃

1042₆

362₈

182₁₂

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 approximationofpi,

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

(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

[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.

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