| ||||
---|---|---|---|---|
Cardinal | twenty-nine | |||
Ordinal | 29th (twenty-ninth) | |||
Factorization | prime | |||
Prime | 10th | |||
Divisors | 1, 29 | |||
Greek numeral | ΚΘ´ | |||
Roman numeral | XXIX | |||
Binary | 111012 | |||
Ternary | 10023 | |||
Senary | 456 | |||
Octal | 358 | |||
Duodecimal | 2512 | |||
Hexadecimal | 1D16 |
29 (twenty-nine) is the natural number following 28 and preceding 30. It is a prime number.
29 is the tenth prime number, and the fifth primorial prime. 29 represents the sum of the first cluster of consecutive semiprimes with distinct prime factors (14, 15).[1] These two numbers are the only numbers whose arithmetic mean of divisors is the first perfect number and unitary perfect number, 6 [2][3] (that is also the smallest semiprime with distinct factors). 29 forms a twin prime pair with 31, which is also a primorial prime. 29 is the smallest positive whole number that cannot be made from the numbers , using each digit exactly once and using only addition, subtraction, multiplication, and division.[4] None of the first twenty-nine natural numbers have more than two different prime factors (this is the longest such consecutive sequence; the first sphenic number 30 is the product of the first three primes 2, 3, and 5).
The 29th dimension is the highest dimension for compact hyperbolic Coxeter polytopes that are bounded by a fundamental polyhedron, and the highest dimension that holds arithmetic discrete groups of reflections with noncompact unbounded fundamental polyhedra.[11]