16 (number)

Short description: Natural number

← 15 16 17 →
← 10 11 12 13 14 15 16 17 18 19 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	sixteen
Ordinal	16th (sixteenth)
Numeral system	hexadecimal
Factorization	24
Divisors	1, 2, 4, 8, 16
Greek numeral	ΙϚ´
Roman numeral	XVI
Binary	100002
Ternary	1213
Quaternary	1004
Quinary	315
Senary	246
Octal	208
Duodecimal	1412
Hexadecimal	1016
Vigesimal	G20
Base 36	G36
Hebrew	ט"ז (Tet Zayin)

16 (sixteen) is the natural number following 15 and preceding 17. 16 is the ninth 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.

16 is the first non-unitary fourth-power prime of the form p⁴

The aliquot sum of a 2-power (2ⁿ) is always one less than the 2-power itself therefore the aliquot sum of 16 is 15, within an aliquot sequence of four composite members (16,15,9,4,3,1,0) to the Prime in the 3-aliquot tree.

In English speech, the numbers 16 and 60 are sometimes confused, as they sound very similar.

Sixteen is the fourth power of two. For this reason, 16 was used in weighing light objects in several cultures. The British 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 5s and 5 lower beads to represent the 1s, the 7 beads can represent a hexadecimal digit from 0 to 15 in each column.

Mathematics

• Sixteen is an even number and the square of four.
• Sixteen is the fourth power of two.
• Sixteen is the only integer that equals mⁿ and n^m, for some unequal integers m and n ([math]\displaystyle{ m=4 }[/math], [math]\displaystyle{ n=2 }[/math], or vice versa). It has this property because [math]\displaystyle{ 2^{2}=2\times 2 }[/math]. It is also equal to ³2 (see tetration).
• Sixteen is the base of the hexadecimal number system, which is used extensively in computer science.
• Sixteen is the largest known integer n, for which [math]\displaystyle{ 2^n+1 }[/math] is prime.
• It is the first Erdős–Woods number.
• There are 16 partially ordered sets with four unlabeled elements.
• 16 is the only number that can be both the perimeter and area of the same square, due to [math]\displaystyle{ 4^{2} }[/math] being equal to [math]\displaystyle{ 4\times 4 }[/math]

Science

• The atomic number of sulfur
• Group 16 of the periodic table are the chalcogens

In technology

• In some computer programming languages, the size in bits of certain data types
• 16-bit computing
• A 16-bit integer can represent up to 65,536 values.

Religion

Hinduism

• Saint Markandeya is said to have been granted to live to 16 years of age. When he turned sixteen, the god of death, Yama, came to look for him and fastened a noose around the saint. The saint hugged the idol of lord Shiva that he worshipped (which can be still found in the Amritaghateswarar-Abirami Temple in Thirukkadaiyur, Tamil Nadu, India ). As the noose was wrapped around both the saint and lord Shiva, this made the lord angry and he appeared in his fierce form and vanquished the lord of death, causing a brief catastrophe in the world where no one died. Eventually, lord Yama was revived and the saint Markandeya was made immortal to be of age sixteen forever.

Age 16

• Sixteen is the minimum age for being allowed a beginner's driver's license with parental consent in many United States states and in Canada . In Australia , Iceland, New Zealand, Norway , South Africa , and the Isle of Man, it is the age that one is eligible to get a learner's license.
• A "sweet sixteen" is celebrated by many sixteen-year-old girls in the United States . It is a coming-of-age celebration that traditionally marks a girl's transition into womanhood.
• 16 is the minimum age that one can leave school in many states of the United States and Canada (however, restrictions apply and vary depending on state or province).
• In the United States, sixteen-year-old girls earn the right to privacy laws surrounding OBGYN practices
• In the United States and Canada, 16 is the most common age of sexual consent, as well as the age in the United Kingdom and several European countries.
• 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 Germany , Belgium, Switzerland , Austria and Portugal.
• Minimum age at which one can buy, rent, purchase, buy tickets to, or view a 16+ rated film in the Canadian 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 US states.
• Minimum age at which one can obtain an adult passport (which lasts ten years) in the United States, United Kingdom, and Australia.
• Minimum age at which one can join the British Armed Forces.
• Sixteen is the voting age in Argentina , Austria, Brazil , Cuba, Ecuador, the Isle of Man, and Nicaragua.
• Sixteen is the age of majority in Cambodia, Cuba, Kyrgyzstan, and Vietnam.

In sports

Many leagues and tournaments have 16 teams or individual participants, for example:

• FIFA World Cup finals from 1934 through 1978 (although for various reasons, only 15 competed in the 1938 and 1950 finals)
• FIFA World Cup knockout phase since 1986.
• FIFA Women's World Cup finals from 1999 through 2011
• The season-ending playoffs in the NASCAR Cup Series
• The National League of Major League Baseball from 1998 to 2012

In both the NBA and NHL, 16 teams qualify for the respective league playoffs; it is also the number of wins needed to win the title (both leagues have four playoff rounds, with four wins in seven games needed to win each round).

In AFL Women's, the top-level league of women's Australian rules football, each team has 16 players on the field at any given time (as opposed to the 18 of almost all other competitions in the sport, most notably the parent Australian Football League for men).

In other fields

• 16 steps make up the average bar of music in a 4/4 musical arrangement. The Roland TR-808, for instance, has 16 buttons that light up representing 16 16th notes making up a drum pattern.
• Sixteen, Kentucky, a community in the United States
• King of France (August 1754 – 21 January 1793) Louis XVI of France
• There are 16 ounces in an avoirdupois pound
• There are 16 pawns in a chess set and each player in a chess game starts with sixteen pieces

Sixteen frames of images

• The Sixteen is an English choir performing early religious music
• In the video game No Man's Sky, 16 is central to the plot as it is the number of minutes before the Atlas simulation resets.
• Sixteen is a Polish band that represented Poland in the 1998 Eurovision Song Contest
• The Cadillac Sixteen
• There are 16 different personality types in the Myers–Briggs classification system
• A note played for one-sixteenth the duration of a whole note is called a sixteenth note or a semiquaver
• In the 16-bit era, 16-bit microprocessor ran 16-bit applications
• Sixteen Kingdoms, part of Chinese history
• The fighter jet, the F-16 Fighting Falcon
• 16 mm film was originally an amateur movie format, but is now used by professionals
• "16" is a song by American band Green Day
• The M16 rifle
• The number 16 is the symbol of the Day of solidarity with political prisoners and victims of the Lukashenka regime in Belarus, which is commemorated on 16th of every months by demonstrations and flash mobs worldwide
• A sixteen is a slang term for a verse in a hip hop song, which are often written in 16-bar stanzas.
• Android 16, a fictional character in the Dragon Ball manga and anime series
• The amount of waking hours in a day in an "8 hours of sleep" schedule
• In the story of the Sleeping Beauty to Walt Disney, a spell is placed on the princess Aurora that when she reaches her 16th birthday, she will "prick her finger on the spindle of a spinning wheel and die"
• 16 is the number of the French department Charente
• Many bank card numbers are 16 digits long
• There is a No Doubt song titled "Sixteen" on the album Tragic Kingdom
• The metalcore band Demon Hunter has a song titled "Sixteen" on their Storm the Gates of Hell album
• In Belgium, 16 is colloquially used to refer to the Belgian government or Prime Minister, especially in media, because of the official seat of the Belgian federal government being located on 16, rue de la Loi in Brussels. The full address is also sometimes used, in a similar way as 10, Downing Street in England.
• The number of rays in the Vergina Sun, symbol by Philip's Argead dynasty, possible religious symbol representing the Olympian gods.
• There are sixteen petals on the Imperial Seal of Japan.
• There were sixteen lands created by Ahura Mazda, according to Avestan geography, which were then followed by sixteen negative counter-creations of Angra Mainyu.

External links

• Symonds, Ria; Parker, Matt. "16 x^y = y^x Sweet Sixteen". Numberphile. Brady Haran. http://www.numberphile.com/videos/16.html.