126 (number)
Encyclopedia
126 is the natural number
following 125
and preceding 127.
, and a decagonal number
as well as a pentatope number
.
It is an abundant number. However, it is the fifth Granville number, and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such Granville number.
125 and 126 form a Ruth-Aaron pair
under the second definition in which repeated prime factors are counted as often as they occur.
In base 10, it is a Harshad number
as well as a Friedman number
, since 126 = 6 × 21.
On the standard 3x3 Rubik's Cube
, starting from the original set position, the basic algorithm
of alternating top rotation- side rotation will return the cube to its original state in 126 moves.
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 125
125 (number)
125 is the natural number following 124 and preceding 126.-In mathematics:One hundred [and] twenty-five is the cube of 5....
and preceding 127.
In mathematics
One hundred [and] twenty-six is a pentagonal pyramidal numberPentagonal 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....
, and a decagonal 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:...
as well as a pentatope number
Pentatope number
A pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1 either from left to right or from right to left.The first few numbers of this kind are :...
.
It is an abundant number. However, it is the fifth Granville number, and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such Granville number.
125 and 126 form 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:...
under the second definition in which repeated prime factors are counted as often as they occur.
In base 10, it is a Harshad number
Harshad number
A Harshad number, or Niven number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit + , meaning joy-giver. The Niven...
as well as a Friedman number
Friedman number
A Friedman number is an integer which, in a given base, is the result of an expression using all its own digits in combination with any of the four basic arithmetic operators and sometimes exponentiation. For example, 347 is a Friedman number since 347 = 73 + 4...
, since 126 = 6 × 21.
On the standard 3x3 Rubik's Cube
Rubik's Cube
Rubik's Cube is a 3-D mechanical puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik.Originally called the "Magic Cube", the puzzle was licensed by Rubik to be sold by Ideal Toy Corp. in 1980 and won the German Game of the Year special award for Best Puzzle that...
, starting from the original set position, the basic algorithm
Algorithm
In mathematics and computer science, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Algorithms are used for calculation, data processing, and automated reasoning...
of alternating top rotation- side rotation will return the cube to its original state in 126 moves.
In other fields
126 is also:- The atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of unbihexiumUnbihexiumUnbihexium , also known as eka-plutonium or element 126, is a hypothetical chemical element with atomic number 126 and symbol Ubh. It is of interest because of its location at the peak of the hypothesized island of stability.-History:...
, an element that has not yet been discovered. - 126 is the seventh magic numberMagic number (physics)In nuclear physics, a magic number is a number of nucleons such that they are arranged into complete shells within the atomic nucleus...
in nuclear physicsNuclear physicsNuclear physics is the field of physics that studies the building blocks and interactions of atomic nuclei. The most commonly known applications of nuclear physics are nuclear power generation and nuclear weapons technology, but the research has provided application in many fields, including those...
(2, 8, 20, 28, 50, 82, 126) - 126 film126 film126 is the number given to a cartridge-based film format used in still photography. It was introduced by Kodak in 1963, and is associated mainly with low-end point-and-shoot cameras, particularly Kodak's own Instamatic series of cameras....
photographic film "cartridge" format- 126 film (roll format)126 film (roll format)126 was the name later given to a roll film format originally introduced by Kodak in 1906, for images 4¼ × 6½ inches. It was discontinued in March 1949....
, another type of photographic film produced from 1906 to 1949.
- 126 film (roll format)
See also
- 126th (disambiguation)
- The year AD 126 or 126 BC
- 126 AH is a year in the Islamic calendarIslamic calendarThe Hijri calendar , also known as the Muslim calendar or Islamic calendar , is a lunar calendar consisting of 12 lunar months in a year of 354 or 355 days. It is used to date events in many Muslim countries , and used by Muslims everywhere to determine the proper day on which to celebrate Islamic...
that corresponds to 743 – 744 CECommon EraCommon Era ,abbreviated as CE, is an alternative designation for the calendar era originally introduced by Dionysius Exiguus in the 6th century, traditionally identified with Anno Domini .Dates before the year 1 CE are indicated by the usage of BCE, short for Before the Common Era Common Era... - 126 Velleda126 Velleda126 Velleda is a main-belt asteroid. It is probably a rather typical, albeit sizable, S-type asteroid. Named for Veleda, a priestess and prophet of the Germanic tribe of the Bructeri. It was discovered by Paul Henry on November 5, 1872, in Paris, France. It was his first credited discovery...
is a Main belt asteroidAsteroidAsteroids are a class of small Solar System bodies in orbit around the Sun. They have also been called planetoids, especially the larger ones... - List of highways numbered 126
- United Nations Security Council Resolution 126United Nations Security Council Resolution 126United Nations Security Council Resolution 126 was adopted on 2 December 1957. It was the last of three resolutions passed during 1957 to deal with the dispute between the governments of India and Pakistan over the territories of Jammu and Kashmir. It followed a report on the situation by Gunnar...
- The 126th General Assembly of OhioOhio House of Representatives membership, 126th General AssemblyThe 126th Ohio General Assembly comprised the state legislature of the U.S. state of Ohio. The Ohio House of Representatives is the lower house of the Ohio General Assembly. Every two years, all of the house seats come up for election. The 126th General Assembly was in session in 2005 and 2006...
, 2005–2006 - Sonnet 126Sonnet 126Sonnet 126 is one of 154 sonnets written by the English playwright and poet William Shakespeare. It's the final member of the Fair Youth sequence, in which the poet shows how Time and nature coincide....
by William ShakespeareWilliam ShakespeareWilliam Shakespeare was an English poet and playwright, widely regarded as the greatest writer in the English language and the world's pre-eminent dramatist. He is often called England's national poet and the "Bard of Avon"... - GilgameshGilgameshGilgamesh was the fifth king of Uruk, modern day Iraq , placing his reign ca. 2500 BC. According to the Sumerian king list he reigned for 126 years. In the Tummal Inscription, Gilgamesh, and his son Urlugal, rebuilt the sanctuary of the goddess Ninlil, in Tummal, a sacred quarter in her city of...
reigned for 126 years according to the Sumerian king list.