9000 (number)
Encyclopedia
9000 is the natural number
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...

 following 8999 and preceding 9001.
Cardinal
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number – the number of elements in the set. The transfinite cardinal numbers describe the sizes of infinite...

9000
nine thousand
Ordinal
Ordinal number
In set theory, an ordinal number, or just ordinal, is the order type of a well-ordered set. They are usually identified with hereditarily transitive sets. Ordinals are an extension of the natural numbers different from integers and from cardinals...

9000th
nine thousandth
Factorization
Factorization
In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original...

Roman numeral M or
Roman numeral (Unicode) M, m, ,
Binary
Binary numeral system
The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2...

10001100101000
Octal
Octal
The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Numerals can be made from binary numerals by grouping consecutive binary digits into groups of three...

21450
Duodecimal
Duodecimal
The duodecimal system is a positional notation numeral system using twelve as its base. In this system, the number ten may be written as 'A', 'T' or 'X', and the number eleven as 'B' or 'E'...

5260
Hexadecimal
Hexadecimal
In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen...

2328

In other fields

  • ISO 9000
    ISO 9000
    The ISO 9000 family of standards relates to quality management systems and is designed to help organizations ensure they meet the needs of customers and other stakeholders . The standards are published by ISO, the International Organization for Standardization, and available through National...

     is the ISO
    International Organization for Standardization
    The International Organization for Standardization , widely known as ISO, is an international standard-setting body composed of representatives from various national standards organizations. Founded on February 23, 1947, the organization promulgates worldwide proprietary, industrial and commercial...

    's standard for Quality Management System in production environments. This includes ISO 9001–9004.
  • The BFG-9000 is the most powerful weapon in the video game series Doom
    Doom (series)
    Doom is a series of first-person shooter video games developed by id Software. The series focuses on the exploits of an unnamed space marine operating under the UAC , who fights hordes of undead and demons in order to survive...


Selected numbers in the range 9000–9999

  • 9009centered cube number
    Centered cube number
    A centered cube number is a centered figurate number that represents a cube. The centered cube number for n is given byn^3 + ^3.The first few centered cube numbers are...

  • 902595
    95 (number)
    95 is the natural number following 94 and preceding 96.-In mathematics:Ninety-five is the thirtieth distinct semiprime and the fifth of the form...

    2, centered octagonal number
    Centered octagonal number
    A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers...

  • 9029Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 9045triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 9059Sophie Germain
    Sophie Germain
    Marie-Sophie Germain was a French mathematician, physicist, and philosopher. Despite initial opposition from her parents and difficulties presented by a gender-biased society, she gained education from books in her father's library and from correspondence with famous mathematicians such as...

     prime
  • 9072decagonal number
    Decagonal number
    A decagonal number is a figurate number that represents a decagon. The n-th decagonal number is given by the formulaThe first few decagonal numbers are:...

  • 9077Markov number
    Markov number
    A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equationx^2 + y^2 + z^2 = 3xyz,\,studied by .The first few Markov numbers are...

  • 9091unique prime
    Unique prime
    In number theory, a unique prime is a certain kind of prime number. A prime p ≠ 2, 5 is called unique if there is no other prime q such that the period length of the decimal expansion of its reciprocal, 1 / p, is equivalent to the period length of the reciprocal of q, 1 / q...

  • 9126pentagonal pyramidal number
    Pentagonal pyramidal number
    A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base. The nth pentagonal pyramidal number is equal to the sum of the first n pentagonal numbers....

  • 9139tetrahedral number
    Tetrahedral number
    A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...

  • 9180 – triangular number
  • 921696
    96 (number)
    96 is the natural number following 95 and preceding 97.-In mathematics:Ninety-six is an octagonal number, a refactorable number and an untouchable number. Since it is a multiple of 6, it is a semiperfect number...

    2
  • 9221 – Sophie Germain prime
  • 9224octahedral number
    Octahedral number
    In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres...

  • 9241cuban prime of the form x = y + 1
  • 9272weird number
    Weird number
    In number theory, a weird number is a natural number that is abundant but not semiperfect.In other words, the sum of the proper divisors of the number is greater than the number, but no subset of those divisors sums to the number itself.- Examples :The smallest weird number is 70...

  • 9283centered heptagonal number
    Centered heptagonal number
    A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers...

  • 9293 – Sophie Germain prime
  • 9316 – triangular number
  • 9334nonagonal number
  • 9349 – Lucas prime
  • 9371 – Sophie Germain prime
  • 9397balanced prime
  • 940997
    97 (number)
    97 is the natural number following 96 and preceding 98.-In mathematics:97 is the 25th prime number , following 89 and preceding 101. 97 is a Proth prime as it is 3 × 25 + 1.The numbers 97, 907, 9007, 90007 and 900007 are happy primes...

    2, centered octagonal number
  • 9419 – Sophie Germain prime
  • 9453 – triangular number
  • 9455square pyramidal number
    Square pyramidal number
    In mathematics, a pyramid number, or square pyramidal number, is a figurate number that represents the number of stacked spheres in a pyramid with a square base...

  • 9457 – decagonal number
  • 9467safe prime
    Safe prime
    A safe prime is a prime number of the form 2p + 1, where p is also a prime. The first few safe primes are...

  • 9473 – Sophie Germain prime, balanced prime
  • 9479 – Sophie Germain prime
  • 9539 – Sophie Germain prime
  • 9587 – safe prime
  • 9591 – triangular number
  • 960498
    98 (number)
    98 is the natural number following 97 and preceding 99.-In astronomy:* Messier 98, a magnitude 11.0 spiral galaxy in the constellation Coma Berenices....

    2
  • 9629 – Sophie Germain prime
  • 9647 – centered heptagonal number
  • 9660 – ISO 9660 standard for CD-ROM
    CD-ROM
    A CD-ROM is a pre-pressed compact disc that contains data accessible to, but not writable by, a computer for data storage and music playback. The 1985 “Yellow Book” standard developed by Sony and Philips adapted the format to hold any form of binary data....

     file system
  • 9689 – Sophie Germain prime
  • 9699 – nonagonal number
  • 9730 – triangular number
  • 9743 – safe prime
  • 9791 – Sophie Germain prime
  • 9800 – member of a Ruth-Aaron pair
    Ruth-Aaron pair
    In mathematics, a Ruth–Aaron pair consists of two consecutive integers for which the sums of the prime factors of each integer are equal:andIf only distinct prime factors are counted, the first few Ruth–Aaron pairs are:...

     (first definition) with 9801
  • 980199
    99 (number)
    99 is the natural number following 98 and preceding 100.-Mathematics:99 is the ninth repdigit, a palindromic number and a Kaprekar number...

    2, centered octagonal number, member of a Ruth-Aaron pair (first definition) with 9800
  • 9839 – safe prime
  • 9850 – decagonal number
  • 9855magic constant
    Magic constant
    The magic constant or magic sum of a magic square is the sum of numbers in any row, column, and diagonal of the magic square. For example, the magic square shown below has a magic constant of 15....

     of n × n normal magic square
    Magic square
    In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n2...

     and n-Queens Problem
    Eight queens puzzle
    The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens attack each other. Thus, a solution requires that no two queens share the same row, column, or diagonal...

     for n = 27.
  • 9870 – triangular number
  • 9871 – balanced prime
  • 9880 – tetrahedral number
  • 9887 – safe prime
  • 9899 – ISO 9899 standard for C programming language
    C (programming language)
    C is a general-purpose computer programming language developed between 1969 and 1973 by Dennis Ritchie at the Bell Telephone Laboratories for use with the Unix operating system....

  • 9901 – unique prime
  • 9923 – probably smallest certainly executable prime number
    Prime number
    A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...

     on x86
    X86 architecture
    The term x86 refers to a family of instruction set architectures based on the Intel 8086 CPU. The 8086 was launched in 1978 as a fully 16-bit extension of Intel's 8-bit based 8080 microprocessor and also introduced segmentation to overcome the 16-bit addressing barrier of such designs...

     MS-DOS
    MS-DOS
    MS-DOS is an operating system for x86-based personal computers. It was the most commonly used member of the DOS family of operating systems, and was the main operating system for IBM PC compatible personal computers during the 1980s to the mid 1990s, until it was gradually superseded by operating...

     http://asdf.org/~fatphil/maths/illegal.html
  • 9999Kaprekar number
    Kaprekar number
    In mathematics, a Kaprekar number for a given base is a non-negative integer, the representation of whose square in that base can be split into two parts that add up to the original number again. For instance, 45 is a Kaprekar number, because 45² = 2025 and 20+25 = 45. The Kaprekar numbers are...

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