77 (number)

Last updated
76 77 78
Cardinal seventy-seven
Ordinal 77th
(seventy-seventh)
Factorization 7 × 11
Divisors 1, 7, 11, 77
Greek numeral ΟΖ´
Roman numeral LXXVII, lxxvii
Binary 10011012
Ternary 22123
Senary 2056
Octal 1158
Duodecimal 6512
Hexadecimal 4D16

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

Contents

In mathematics

77 is:

It is possible for a sudoku puzzle to have as many as 77 givens, yet lack a unique solution. [6]

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

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. [7]

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 and believe that there is no god but Allah without any equals or highers and anyone worthy of worship, 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. [8] Some have gone so far as to delineate these branches. [9]

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.[ citation needed ]

In other fields

Seventy-seven is also:

References

  1. Sloane, N. J. A. (ed.). "SequenceA001358". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "SequenceA016105(Blum integers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-05-29.
  3. Sloane, N. J. A. (ed.). "SequenceA000041". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. Sloane, N. J. A. (ed.). "SequenceA051882(numbers that are not strict-sense Egyptian)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-08-29.
  5. Caldwell, Chris K. "Mersenne Primes: History, Theorems and Lists".
  6. "The Science behind Sudoku, J.P. Delahaye" (PDF). Archived from the original (PDF) on 2016-03-04. Retrieved 2008-10-07.
  7. Buchan, Jamie (2010), Easy as Pi: The Countless Ways We Use Numbers Every Day, Penguin, ISBN   9781606522783 .
  8. "A Verdict of Mufti Muhammad Hassan". Archived from the original on 2008-12-04. Retrieved 2008-05-29.
  9. "Imam al-Tahanawi on the Seventy-Seven Branches". Archived from the original on 2009-06-20. Retrieved 2008-05-29.
  10. "10 Codes".

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