35

← 34 36 → 35
← 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	thirty-five
Ordinal	35th (thirty-fifth)
Factorization
Divisors	1, 5, 7, 35
Roman numeral	XXXV
Binary	1000112
Octal	438
Duodecimal	2B12
Hexadecimal	2316

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

In mathematics

35 is a tetrahedral number

The 35 free hexominoes

35 is the sum of the first five triangular numbers, making it a tetrahedral number.

35 is a centered cube number, a pentagonal number and a pentatope number.

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.

There are 35 hexominoes, the polyominoes made from 6 squares.

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

35 is a discrete semiprime (or biprime) (5 x 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 semiprimes 33,34,35. 85,86,87 is the second such triple discrete semiprime cluster.

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

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:

• 35 mm film is the basic film gauge most commonly used for both analog photography and motion pictures
• "35 c", a song by Jagúar from the album Jagúar
• In years of marriage, the coral wedding anniversary
• The designation of Interstate 35, a freeway that runs from Texas to Minnesota and the only freeway to have East/West divisions (in two places, the Twin Cities and the DFW Metroplex)
• 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
• Licence Plate code of Izmir/Turkey.
• The number of the French department Ille-et-Vilaine
• The passing grade in many Indian Colleges (out of 100). Scoring a 35 is known to many students as getting a "Stamp"

Historical years

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

References