35 (number)

From Wikipedia, the free encyclopedia

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

← 30 31 32 33 34 35 36 37 38 39 → List of numbers — Integers 0 10 20 30 40 50 60 70 80 90 →
Cardinal	35 thirty-five
Ordinal	35th thirty-fifth
Factorization
Divisors	1, 5, 7, 35
Roman numeral	XXXV
Binary	100011
Hexadecimal	23

Contents 1 In mathematics 2 In science 2.1 Astronomy 3 In other fields 4 Historical years 5 References

[edit] 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.

[edit] In science

• The atomic number of bromine

[edit] 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.

[edit] In other fields

35 is also:

• 35 mm film is the basic film gauge most commonly used for both analog photography and motion pictures
• 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.

[edit] Historical years

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

[edit] References