77 (number)

From Wikipedia, the free encyclopedia
← 76 77 78 →
← 70 71 72 73 74 75 76 77 78 79 →
List of numbers — Integers
← 0 10 20 30 40 50 60 70 80 90 →
Cardinalseventy-seven
Ordinal77th
(seventy-seventh)
Numeral system77 Wizard req/d m10
Factorization7 × 11
Divisors1, 7, 11, 77
Greek numeralΟΖ´
Roman numeralLXXVII
Unicode symbol(s)21-05-2020
Binary10011012
Ternary22123
Octal1158
Duodecimal6512
Hexadecimal4D16

77 (seventy-seven) is the natural number following 76 and preceding 78. Seventy-seven is the smallest positive integer requiring five syllables in English.

In mathematics[]

77 is:

  • the 22nd discrete semiprime and the first of the (7×q) family.
  • a Blum integer since both 7 and 11 are Gaussian primes.[1]
  • the sum of three consecutive squares, 42 + 52 + 62.
  • the sum of the first eight prime numbers.
  • the number of integer partitions of the number 12.[2]
  • the largest number that cannot be written as a sum of distinct numbers whose reciprocals sum to 1.[3]
  • the number of digits of the 12th perfect number.[4]

It is possible for a sudoku puzzle to have as many as 77 givens, yet lack a unique solution.[5]

It and its sibling 49 are the only 2-digit numbers whose home primes (in base 10) have not been calculated.

In science[]

  • The atomic number of iridium
  • The boiling point of nitrogen (in kelvins)
  • The temperature, in Fahrenheit, some characteristics of semiconductors are specifically given in a datasheet (77 °F = 25 °C).

In history[]

During World War II in Sweden at the border with Norway, "77" was used as a shibboleth (password), because the tricky pronunciation in Swedish made it easy to instantly discern whether the speaker was native Swedish, Norwegian, or German.[6]

In religion[]

In the Islamic tradition, "77" figures prominently. Muhammad is reported to have explained, "Faith has sixty-odd, or seventy-odd branches, the highest and best of which is to declare that there is no god but God, and the lowest of which is to remove something harmful from a road. Shyness, too, is a branch of faith." While some scholars refrain from clarifying "sixty-odd or seventy-odd", various numbers have been suggested, 77 being the most common.[7] Some have gone so far as to delineate these branches.[8]

The Gospel of Luke lists 77 generations from Adam to Jesus.[9] In the Gospel of Matthew Peter asks, "How many times shall I forgive my brother?". Jesus replies, "Seventy-seven times." However this was not intended as literal quantitative instruction. Additionally, depending on the manuscript used for a given New Testament eclectic[10][circular reference] translation, the result is 77 or 490 (70*7) as it is seen in the King James Version.

In religious numerology[]

In certain numerological systems based on the English alphabet, the number 77 is associated with Jesus Christ. CHRIST is C = 3, H = 8, R = 18, I = 9, S = 19, T = 20, which added together equal 77.

'Liber 77' is the gematrian name for Liber OZ- a brief but popular publication by Aliester Crowley. The word 'oz', which means 'strength', is composed of two hebrew letters- ayin and zayin, which have gematrian values of 70 and 7 respectively, thus adding up to 77.

In other fields[]

See also: List of highways numbered 77

Seventy-seven is also:

  • 10-77, the New York City Fire Department's (FDNY) 10 code for high-rise, multiple-dwelling fire[11]
  • Shortening of a 1950s-60s TV series, 77 Sunset Strip
  • Group of 77, a group of developing nations at the United Nations
  • Talking Heads: 77, Talking Heads’ debut album, released in 1977
  • American Airlines Flight 77, one of the planes hijacked during the September 11 terrorist attacks in 2001.
  • The 77's, an American Rock band

References[]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A016105 (Blum integers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000041". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "What's Special About This Number?". Archived from the original on 2018-02-23. Retrieved 2013-03-11.
  4. ^ Caldwell, Chris K. "Mersenne Primes: History, Theorems and Lists".
  5. ^ The Science behind Sudoku, J.P. Delahaye
  6. ^ Buchan, Jamie (2010), Easy as Pi: The Countless Ways We Use Numbers Every Day, Penguin, ISBN 9781606522783.
  7. ^ "A Verdict of Mufti Muhammad Hassan". Archived from the original on 2008-12-04. Retrieved 2008-05-29.
  8. ^ "Imam al-Tahanawi on the Seventy-Seven Branches". Archived from the original on 2009-06-20. Retrieved 2008-05-29.
  9. ^ "The genealogy of Jesus".
  10. ^ "Textual Criticism of the New Testament".
  11. ^ "10 Codes".

External links[]

Media related to 77 (number) at Wikimedia Commons

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