What does square number mean?

Definitions for square number
square num·ber

This dictionary definitions page includes all the possible meanings, example usage and translations of the word square number.


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Wikipedia

  1. Square number

    In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3. The usual notation for the square of a number n is not the product n × n, but the equivalent exponentiation n2, usually pronounced as "n squared". The name square number comes from the name of the shape. The unit of area is defined as the area of a unit square (1 × 1). Hence, a square with side length n has area n2. If a square number is represented by n points, the points can be arranged in rows as a square each side of which has the same number of points as the square root of n; thus, square numbers are a type of figurate numbers (other examples being cube numbers and triangular numbers). Square numbers are non-negative. A non-negative integer is a square number when its square root is again an integer. For example, 9 = 3 , {\displaystyle {\sqrt {9}}=3,} so 9 is a square number. A positive integer that has no square divisors except 1 is called square-free. For a non-negative integer n, the nth square number is n2, with 02 = 0 being the zeroth one. The concept of square can be extended to some other number systems. If rational numbers are included, then a square is the ratio of two square integers, and, conversely, the ratio of two square integers is a square, for example, 4 9 = ( 2 3 ) 2 {\displaystyle \textstyle {\frac {4}{9}}=\left({\frac {2}{3}}\right)^{2}} . Starting with 1, there are ⌊ m ⌋ {\displaystyle \lfloor {\sqrt {m}}\rfloor } square numbers up to and including m, where the expression ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } represents the floor of the number x.

Wikidata

  1. Square number

    In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3. The usual notation for the formula for the square of a number n is not the product n × n, but the equivalent exponentiation n², usually pronounced as "n squared". The name square number comes from the name of the shape; see below. Square numbers are non-negative. Another way of saying that a number is a square number, is that its square roots are again integers. For example, √9 = ±3, so 9 is a square number. A positive integer that has no perfect square divisors except 1 is called square-free. For a non-negative integer n, the nth square number is n², with 0² = 0 being the 0-th one. The concept of square can be extended to some other number systems. If rational numbers are included, then a square is the ratio of two square integers, and, conversely, the ratio of two square integers is a square. Starting with 1, there are square numbers up to and including m, where the expression represents the floor of the number x.

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Numerology

  1. Chaldean Numerology

    The numerical value of square number in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of square number in Pythagorean Numerology is: 1

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"square number." Definitions.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.definitions.net/definition/square+number>.

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