137 (number)

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137 is the natural number following 136 and preceding 138.

137
Cardinal one hundred [and] thirty-seven
Ordinal 137th
(one hundred [and] thirty-seventh)
Numeral system 137
Factorization 137
Prime 33rd
Divisors 1, 137
Roman numeral CXXXVII
Binary 100010012
Octal 2118
Duodecimal B512
Hexadecimal 8916

Contents

[edit] In mathematics

One hundred [and] thirty-seven is the 33rd prime number; the next is 139, with which it comprises a twin prime, and thus 137 is a Chen prime. 137 is an Eisenstein prime with no imaginary part and a real part of the form 3n - 1. It is also the fourth Stern prime. 137 is a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes.

Using two radii to divide a circle according to the golden ratio yields sectors of approximately 137° (the golden angle) and 222°.

137 is a strictly non-palindromic number and a primeval number.

The fifth harmonic number is \frac{137}{60}

[edit] In physics

The fine structure constant, a dimensionless physical constant, approximates 1/137, and the astronomer Arthur Eddington conjectured in 1929 that its reciprocal was in fact precisely the integer 137, which he claimed could be "obtained by pure deduction".[1] This conjecture was not widely adopted, and by the 1940s, the experimental values for the constant were clearly inconsistent with it (i.e. closer to 137.036).[2] The fine structure constant continues to convince people that the universe has numerological fine tuning.[3]

[edit] In the military

[edit] In music

[edit] In transportation

[edit] In other fields

137 is also:

[edit] See also

[edit] References

  1. ^ Eddington, A.S., The Constants of Nature in "The World of Mathematics", Vol. 2 (1956) Ed. Newman, J.R., Simon and Schuster, pp. 1074-1093.
  2. ^ Helge Kragh, "Magic Number: A Partial History of the Fine-Structure Constant", Archive for History of Exact Sciences 57:5:395 (July, 2003) doi:10.1007/s00407-002-0065-7
  3. ^ The mystery of 137, www.integralworld.net

[edit] External links

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