242 (number)

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← 241 242 243 →
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]

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<span class="mw-page-title-main">1,000,000,000</span> Natural number

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<span class="mw-page-title-main">Polyominoid</span> 3D geometric figure formed from squares

In geometry, a polyominoid is a set of equal squares in 3D space, joined edge to edge at 90- or 180-degree angles. The polyominoids include the polyominoes, which are just the planar polyominoids. The surface of a cube is an example of a hexominoid, or 6-cell polyominoid, and many other polycubes have polyominoids as their boundaries. Polyominoids appear to have been first proposed by Richard A. Epstein.

References

  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.). "SequenceA006958(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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