137 (number)

137 (number)

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

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}

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 dimensionless number 137.036 arises also, identical up to the fifth digit after the decimal mark, from other combinations of atomic constants.[3]

In the military

In music

In transportation

In other fields

137 is also:

See also

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

External links


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • 137 Avenue, Edmonton — Infobox road marker province=AB highway name=137 Avenue name notes= type= route= alternate name= maint= City of Edmonton section= length mi= length round= length ref= length notes= established= decommissioned= direction a= East terminus a=33… …   Wikipedia

  • 137 (число) — 137 сто тридцать семь 134 · 135 · 136 · 137 · 138 · 139 · 140 Факторизация: Простое Римская запись: CXXXVII Двоичное: 10001001 Восьмеричное: 211 Шестнадцатеричное: 89 …   Википедия

  • number symbolism — Introduction       cultural associations, including religious, philosophic, and aesthetic, with various numbers.       Humanity has had a love hate relationship with numbers from the earliest times. Bones dating from perhaps 30,000 years ago show …   Universalium

  • Number 12 Looks Just Like You — This article is about a TV episode. For the band, see The Number Twelve Looks Like You. Number 12 Looks Just Like You The Twilight Zone episode Marilyn after forcibly undergoing …   Wikipedia

  • Reichsstraße 137 — Die Reichsstraße 137 (R 137) war bis 1945 eine Staatsstraße des Deutschen Reichs. Sie führte im nördlichen Ostpreußen in Nord Süd Richtung von Kreuzingen (bis 1938 Groß Skaisgirren, heute russisch Bolschakowo) über Insterburg (Tschernjachowsk)… …   Deutsch Wikipedia

  • 136 (number) — 136 (one hundred [and] thirty six) is the natural number following 135 and preceding 137.Number|number = 136 range = 130s cardinal = one hundred [and] thirty six ordinal = th ordinal text = one hundredth [and] thirty sixth numeral = 136… …   Wikipedia

  • 138 (number) — ← 137 139 → 138 ← 130 131 132 133 134 135 136 …   Wikipedia

  • Wikipedia:List of Wikipedians by number of edits — Shortcuts: WP:NOE WP:WBE WP:EDITS WP:MOSTEDITS This is a list of Wikipedians ordered by number of edits in the English language Wikipedia. Edits in all namespaces are counted; deleted edits have been included in recent versions. Click… …   Wikipedia

  • 800 (number) — This article is about the number 800. For the Common Era Year 800, see 800. For other uses, see 800 (disambiguation) 800 (eight hundred) is the natural number following 799 and preceding 801. List of numbers Integers ← 0 100 200 300 400 500 600… …   Wikipedia

  • 900 (number) — For the year 900, see 900 BC or 900 AD. 900 (nine hundred) is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler s totient function for the first 54 integers. In base 10 it is a Harshad number. List of …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”