16 (number): Wikis

  
  

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16
Cardinal sixteen
Ordinal 16th
(sixteenth)
Numeral system hexadecimal
Factorization 24
Divisors 1, 2, 4, 8, 16
Roman numeral XVI
Binary 100002
Octal 208
Duodecimal 1412
Hexadecimal 1016
Hebrew ט"ז (Tet Zayin)

16 (sixteen) is the natural number following 15 and preceding 17. 16 is a composite number, and a square number, being 42 = 4 × 4. It is the smallest number with exactly five divisors, its proper divisors being 1, 2, 4 and 8.

In speech, the numbers 16 and 60 are often confused. When carefully enunciated, they differ in which syllable is stressed: 16 /sɪksˈtiːn/ vs 60 /ˈsɪksti/. However, in dates such as 1666 or when contrasting numbers in the teens, such as 15, 16, 17, the stress shifts to the first syllable: 16 /ˈsɪkstiːn/.

Sixteen is the fourth power of two. For this reason, 16 was used in weighing light objects in several cultures. The British used to have 16 ounces in one pound, the Chinese used to have 16 liangs in one jin. In old days, weighing was done with a beam balance to make equal splits. It would be easier to split a heap of grains into sixteen equal parts through successive divisions than to split into ten parts. Chinese Taoists did finger computation on the trigrams and hexagrams by counting the finger tips and joints of the fingers with the tip of the thumb. Each hand can count up to 16 in such manner. The Chinese abacus uses two upper beads to represent the 5's and 5 lower beads to represent the 1's, the 7 beads can represent from a hexadecimal digit from 0 to 15 in each column.

Contents

In mathematics

As a power of 2 it has an aliquot sum one less than itself; 15, and is the fifth composite member of the 3-aliquot tree having the 7 member aliquot sequence (16,15,9,4,3,1,0).

Sixteen is the first number to be the aliquot sum of a lesser number; 12, it is also the aliquot sum of the greater number; the discrete semiprime, 26. It is the fourth power of two.

Sixteen is the only integer that equals mn and nm, for some unequal integers m and n (m = 4, n = 2, or vice versa). It has this property because 22 = 2 × 2. It is also equal to 32 (see tetration).

15 and 16 form a Ruth–Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

Since it is not possible to find sequences of 16 consecutive integers such that each inner member member shares a factor with either the first or the first member, 16 is an Erdős–Woods number. The smallest such range of 16 consecutive integers is from 2184 to 2200.[1]

16 is a centered pentagonal number.

16 is the base of the hexadecimal number system, which is used extensively in computer science.

16 appears in the Padovan sequence, preceded by the terms 7, 9, 12 (it is the sum of the first two of these).

In science

Age 16

  • Sixteen is the minimum age for being allowed an official beginners driver's license with parental consent in many U.S. states and in Canada. In Australia, Iceland, Norway and the Isle of Man, it is the age one can begin to get a learner's licence.
  • In some states in the U.S, and some provinces in Canada, it is the age one can obtain a learner's permit.
  • Sixteen is the minimum age for getting an adult job in most states and provinces across the globe.
  • Sixteen is the minimum age that one can drop out of school in most states of the US (however, restrictions apply and vary depending on state).
  • In the United States, female sixteen year olds earn the right to privacy laws surrounding OBGYN practices.
  • In the Netherlands, Belgium and Italy, it is the legal minimum age for a person to purchase any tobacco product.
  • Sixteen is the age of consent for many jurisdictions around the world.
  • For its "coming of age" significance, this age has inspired the titles of many songs, such as "Happy Birthday Sweet Sixteen", "You're Sixteen", "Sweet Sixteen", "U16 Girls" "Sweet Little Sixteen" and "Sixteen Candles", the last of which was borrowed as the title of a John Hughes movie. (This last one was also parodied in a novelty song by The Mothers, titled "Eddie Are You Kidding?", a tribute to the Los Angeles clothing store Zachary All; the tag line is "Sixteen Tailors...")
  • Sixteen is the minimum age to get married with parental consent in many countries and without parental consent in Scotland.
  • Sixteen is the legal drinking age in France, Germany, Belgium, Austria, Italy, the Netherlands and Portugal.
  • In the Netherlands, sixteen is the age when all adult rights are granted, but the age of majority is 18.
  • Minimum age at which one can buy, rent, purchase, buy tickets to, or view a 16+ rated movie in the province of Quebec. It is also the minimum age at which one can accompany a minor under 13 while buying, renting, or purchasing tickets to a 13+ rated movie in the province of Quebec.
  • Minimum age at which one can donate blood with parental consent in many states.
  • Minimum age at which one can obtain a 10 year passport in the U.S.

In sports

Football

Baseball

Hockey

  • The number 16 is retired by the Philadelphia Flyers in honor of Bobby Clarke.
  • Also, not used by any Detroit Red Wing player, in honor of Vladimir Konstantinov.

Auto Racing

  • Greg Biffle is currently the driver of the number 16 car in the NASCAR Sprint Cup Series.

College Athletics

  • The University of Alabama, Tuscaloosa currently has 16 different athletic programs on probation

In other fields

Sixteen frames of images

References

  1. ^ R. K. Guy, Unsolved Problems in Number Theory New York: Springer-Verlag (2004): B28
  2. ^ Lesson plan explaining the reasoning behind the hip-hop slang "sixteen"

Simple English

Simple English Wiktionary has the word meaning for:

Sixteen is a number. It comes between fifteen and seventeen, and is an even number. It is also the 4th square number, after 1, 4, and 9.








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