35 (number)
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35 (thirty-five) is the natural number following 34 and preceding 36.
| Cardinal | 35 thirty-five |
| Ordinal | 35th thirty-fifth |
| Factorization |  |
| Divisors | 1, 5, 7, 35 |
| Roman numeral | XXXV |
| Binary | 100011 |
| Hexadecimal | 23 |
Contents |
[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 a 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.
[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:
- 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
