35 (number)

35 (thirty-five) is the natural number following 34 and preceding 36.

In mathematics

It is the sum of the first five triangular numbers, making it a tetrahedral number. It is also a centered cube number. 35 is a pentagonal number and a pentatope number.

There are 35 hexominos, the polyominos made from 6 squares.

35 is a highly cototient number, since there are more solutions to the equation x - φ(x) = 35 than there are for any other integers below it except 1.

35 is the highest number one can count to on one's fingers using base 6.

35 is a discrete biprime (5.7), the tenth, and the first with 5 as the lowest non-unitary factor. The aliquot sum of 35 is 13 this being the second composite number with such an aliquot sum; the first being the Cube 27. 35 is the last member of the first triple cluster of Bi-Primes 33,34,35. 85,86,87 is the second such triple discrete biprime cluster.

Since the greatest prime factor of 35² + 1 = 1226 is 613, which is obviously more than 35 twice, 35 is a Størmer number.

In science

• The atomic number of bromine

Astronomy

• Messier object M35, a magnitude 5.5 open cluster in the constellation Gemini

• The New General Catalogue object NGC 35, a galaxy in the constellation Cetus

• The Saros number of the solar eclipse series which began on -1870 July 25 and ended on -373 January 9. The duration of Saros series 35 was 1496.5 years, and it contained 84 solar eclipses.

• The Saros number of the lunar eclipse series which began on -1550 May 14 and ended on -252 July 1. The duration of Saros series 35 was 1298.1 years, and it contained 73 lunar eclipses.

In other fields

35 is also:

• Iain MacMillan's Football Jersey Number. Minor Football MVP of Nova Scotia
• In years of marriage, the coral wedding anniversary
• The designation of Interstate 35, a freeway that runs from Texas to Minnesota
• In Ancient Rome, the age of a man in his prime, at which he was eligible to become a consul.^[1]
  • The minimum age (in years) of candidates for election to the position of President of the United States, President of Ireland and President of Poland
  • Convoy of 35 Israeli soldiers, who were killed in the war of independence in 1948
  • The retired baseball jersey of Randy Jones
  • The baseball jersey of Detroit Tigers pitcher Justin Verlander
  • Number worn by Kevin Durant in the NBA
  • Number of Sam Wilson, forward for the Wellsville Lions
  • an internet subculture joke, rule 35, which states: "If no porn is found of it, it will be created."
  • Licence Plate code of izmir/Turkey.

  Historical years

  35 A.D., 35 B.C., 1935, 2035, etc.

  References

  1. ^ de Vries, Ad (1976). Dictionary of Symbols and Imagery. Amsterdam: North-Holland Publishing Company, p. 462. ISBN 0-7204-8021-3. 

  
  

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