| ||||
---|---|---|---|---|
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.
29 is the fifth primorial prime, like its twin prime 31.
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. [1] None of the first twenty-nine natural numbers have more than two different prime factors (in other words, this is the longest such consecutive sequence; the first sphenic number or triprime, 30 is the product of the first three primes 2, 3, and 5). 29 is also,
On the other hand, 29 represents the sum of the first cluster of consecutive semiprimes with distinct prime factors (14, 15). [8] These two numbers are the only numbers whose arithmetic mean of divisors is the first perfect number and unitary perfect number, 6 [9] [10] (that is also the smallest semiprime with distinct factors). The pair (14, 15) is also the first floor and ceiling values of imaginary parts of non-trivial zeroes in the Riemann zeta function,
The 15 and 290 theorems describes integer-quadratic matrices that describe all positive integers, by the set of the first fifteen integers, or equivalently, the first two-hundred and ninety integers. Alternatively, a more precise version states that an integer quadratic matrix represents all positive integers when it contains the set of twenty-nine integers between 1 and 290: [11] [12]
The largest member 290 is the product between 29 and its index in the sequence of prime numbers, 10. [13] The largest member in this sequence is also the twenty-fifth even, square-free sphenic number with three distinct prime numbers as factors, [14] and the fifteenth such that is prime (where in its case, 2 + 5 + 29 + 1 = 37). [15] [lower-alpha 1]
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. [16]
10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.
21 (twenty-one) is the natural number following 20 and preceding 22.
In number theory, a sphenic number is a positive integer that is the product of three distinct prime numbers. Because there are infinitely many prime numbers, there are also infinitely many sphenic numbers.
In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, there are also infinitely many semiprimes. Semiprimes are also called biprimes, since they include two primes, or second numbers, by analogy with how "prime" means "first".
35 (thirty-five) is the natural number following 34 and preceding 36.
34 (thirty-four) is the natural number following 33 and preceding 35.
55 (fifty-five) is the natural number following 54 and preceding 56.
57 (fifty-seven) is the natural number following 56 and preceding 58.
58 (fifty-eight) is the natural number following 57 and preceding 59.
92 (ninety-two) is the natural number following 91 and preceding 93.
360 is the natural number following 359 and preceding 361.
400 is the natural number following 399 and preceding 401.
700 is the natural number following 699 and preceding 701.
600 is the natural number following 599 and preceding 601.
138 is the natural number following 137 and preceding 139.
177 is the natural number following 176 and preceding 178.
744 is the natural number following 743 and preceding 745.
14 (fourteen) is the natural number following 13 and preceding 15.
1234 is the natural number following 1233, and preceding 1235.