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

77
Cardinal seventy-seven
Ordinal 77th
(seventy-seventh)
Numeral system 77
Factorization 7 \cdot 11
Divisors 1, 7, 11, 77
Roman numeral LXXVII
Binary 10011012
Octal 1158
Duodecimal 6512
Hexadecimal 4D16

Contents

[edit] In mathematics

Seventy-seven is the 22nd discrete biprime and the first of the (7.q) family. Since both 7 and 11 are Gaussian primes, this means that 77 is a Blum integer.

It is the sum of three squares, 42 + 52 + 62, as well as the sum of the first eight prime numbers.

77 has an aliquot sum of 19 and it is the second number to do so the first being 65. 77 is the 2nd member of the 19-aliquot tree.

77 and 78 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

It is possible for a sudoku puzzle to have as many as 77 givens yet lack a unique solution.[1]

77 is an odd number: it can not be divided by two.

77 is a composite number because it has more factors that two (1 and itself).

77 Is not a square number.

[edit] In science

In astronomy,

Messier object M77, a magnitude 10.5 spiral galaxy in the constellation Cetus
The New General Catalogue object NGC 77, a galaxy in the constellation Cetus
The Saros number of the solar eclipse series which began on -474 July 11 and ended on 788 August 6. The duration of Saros series 77 was 1262.1 years, and it contained 71 solar eclipses.

[edit] 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.

[edit] 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.[2] Some have gone so far as to delineate these branches.[3]

[edit] In music

[edit] In sports

[edit] In other fields

Seventy-seven is also:

[edit] References

  1. ^ [1]
  2. ^ A Verdict of Mufti Muhammad Hassan
  3. ^ Imam al-Tahanawi on the Seventy-Seven Branches



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