35 (NUMBER)

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

Cardinal	35 thirty-five
Ordinal	35th thirty-fifth
Factorization	$5cdot\; 7$
Divisors	1, 5, 7, 35
Roman numeral	XXXV
Binary	100011
Hexadecimal	23

Contents

In mathematics

In science

Astronomy

In other fields

Historical years

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.

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:

★ In years of marriage, the coral wedding anniversary

★ The designation of Interstate 35, a freeway that runs from Texas to Minnesota

★ 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

Historical years

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