91 (عدد)
  | ||||
|---|---|---|---|---|
| كمي | صفر | |||
| ترتيبي | 91st (صفر)  | |||
| التحليل لعوامل | 7 × 13 | |||
| القواسم | 1, 7, 13, 91 | |||
| العدد اليوناني | ϞΑ´ | |||
| العدد الروماني | XCI | |||
| ثنائي | 10110112 | |||
| ثلاثي | 101013 | |||
| رباعي | 11234 | |||
| خماسي | 3315 | |||
| سداسي | 2316 | |||
| ثماني | 1338 | |||
| اثنا عشري | 7712 | |||
| ستة عشري | 5B16 | |||
| عشريني | 4B20 | |||
| أساس 36 | 2J36 | |||
91 (ninety-one) is the natural number following 90 and preceding 92.
في الرياضيات
91 هو:
- the twenty-seventh distinct semiprime[1] and the second of the form (7.q), where q is a higher prime.
 - the aliquot sum of 91 is 21 33; itself a semiprime, within an aliquot sequence of two composite numbers (91,21,11, 1,0) to the prime in the 11-aliquot tree. 91 is the fourth composite number in the 11-aliquot tree.(91,51,21,18).
 - a triangular number.
 - a hexagonal number,[2] one of the few such numbers to also be a centered hexagonal number.[3]
 - a centered nonagonal number.[4]
 - a centered cube number.[5]
 - a square pyramidal number, being the sum of the squares of the first six integers.[6]
 - the smallest positive integer expressible as a sum of two cubes in two different ways if negative roots are allowed (alternatively the sum of two cubes and the difference of two cubes):[7]
91 = 63 + (−5)3 = 43 + 33. (See 1729 for more details).
This implies that 91 is the second cabtaxi number. - the smallest positive integer expressible as a sum of six distinct squares:
91 = 12 + 22 + 32 + 42 + 52 + 62. - The only other ways to write 91 as a sum of distinct squares are:
91 = 12 + 42 + 52 + 72 and - 91 = 12 + 32 + 92.
 - the smallest pseudoprime satisfying the congruence 3n ≡ 3 mod n.[8]
 - a repdigit in base 9 (1119).
 - palindromic in bases 3 (101013), 9 (1119), and 12 (7712).
 - a Riordan number.[9]
 - the smallest number that looks prime but isn't, proven using the Rotten Theorem by John Conway.[10][11]
 
The decimal equivalent of the fraction 1⁄91 can be obtained by using powers of 9.
In science
- 91 is the atomic number of protactinium, an actinide.
 - McCarthy 91 function, a recursive function in discrete mathematics
 - Messier object M91, a magnitude 11.5 spiral galaxy in the constellation Coma Berenices
 - The New General Catalogue object NGC 91, a single star in the constellation Andromeda
 
In other fields
Ninety-one is also:
- The code for international direct dial phone calls to India
 - In cents of a U.S. dollar, the amount of money one has if one has one each of the coins of denominations less than a dollar (penny, nickel, dime, quarter and half dollar)
 - The ISBN Group Identifier for books published in Sweden.
 - Psalm 91 is known as the Psalm of Protection.
 - STS-91 Space Shuttle Discovery mission to the International Space Station, June 2, 1998
 - Swedish comic strip 91:an
 - The 91st Missile Wing (91 SW) is a Minuteman (missile) III unit of the United States Air Force, based at Minot Air Force Base, North Dakota
 - The number of the French department Essonne
 
References
- ^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
 - ^ "Sloane's A000384 : Hexagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
 - ^ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
 - ^ "Sloane's A060544 : Centered 9-gonal (also known as nonagonal or enneagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
 - ^ "Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
 - ^ "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
 - ^ Sloane, N. J. A. (ed.). "Sequence A047696 (Smallest positive number that can be written in n ways as a sum of two (not necessarily positive) cubes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
 - ^ Friedman, Erich. What's Special About This Number? Archived 2018-02-23 at the Wayback Machine
 - ^ "Sloane's A005043 : Riordan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
 - ^ "John Conway proves that 91 is the smallest number which looks prime but isn't". Ryan Andersen. 31 December 2020. Retrieved 2024-05-09.
 - ^ "Prime Numbers". 9 May 2024.
 
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