13 (number)

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"Thirteen" redirects here. For the movie of the same name, see Thirteen (film)

13 (Thirteen) is the natural number following 12 and preceding 14.

<< 10 11 12 13 14 15 16 17 18 19 >>

Cardinal 13
thirteen
Ordinal 13th
thirteenth
Numeral system tredecimal
Factorization prime
Divisors 1, 13
Roman numeral XIII
Binary 1101
Hexadecimal D

Contents

In mathematics

Thirteen is the 6th smallest prime number; the next is seventeen. 13 is the second Wilson prime. 13 is the fifth Mersenne prime exponent, yielding 8191. 13 is also the third lucky prime.

13 is the second star number and the seventh Fibonacci number. As it is an odd-indexed Fibonacci number, it is a Markov number, appearing in solutions to the Markov Diophantine equation: (1, 5, 13), (1, 13, 34), (5, 13, 194), ...

There are 13 Archimedean solids.

13 goes into 999,999 exactly 76,923 times, so vulgar fractions with 13 in the denominator have six digit repeating sequences in their decimal expansions.

At 13, the Mertens function sets a new low of -3, subseded later at 31 with a value of -4.

13 is the only positive integer that is the fourth root of the sum of the squares of two successive positive integers (119 and 120).

In science

In astronomy,

Messier object M13, a magnitude 7.0 globular cluster in the constellation Hercules, also known as the Hercules cluster. It is one of the brightest and best-known of the globular clusters.
The New General Catalogue object NGC 13, a spiral galaxy in the constellation Andromeda
The Saros number of the solar eclipse series which began on -2561 September 12 and ended on -1046 March 9. The duration of Saros series 13 was 1514.5 years, and it contained 85 solar eclipses.
The Saros number of the lunar eclipse series which began on -2313 May 20 and ended on -1015 July 6. The duration of Saros series 13 was 1298.1 years, and it contained 73 lunar eclipses.
The 13th moon of Jupiter is Elara.
The known universe is currently thought to be about 13.7 billion years old, with an error of about one percent.
There are 13 zodiac constellations, which consist of the 12 signs in the astrological zodiac and Ophiuchus.

As lucky, unlucky, or significant number

See also: Triskaidekaphobia

Thirteen is regarded as an unlucky number in many cultures. One (probably unverifiable) theory holds that 13 is a reflection of the human fear of the unknown, since it is the first number that cannot be enumerated by using our 10 fingers and 2 feet. Unreasoned fear of the number 13 is termed triskaidekaphobia. Due to this fear, some tall buildings have resorted to skipping the "thirteenth floor", simply by numbering it "14" (though it's really still the thirteenth floor) or by designating the floor "12a" or similar instead. The thirteenth of a month is likewise ominous, particularly when it falls on a Friday (see Friday the 13th), or in the Spanish-speaking world, a Tuesday. The 13th falls on a Friday more often than any other day. In fact it occurs more often than any other day/number combination except those that coincide with it (Thursday the 12th, Saturday the 14th, etc). Months with a Friday the 13th always begin on a Sunday.

A small minority of left handers (see "left handed") consider 13 to be their "lucky" number. This is possibly derived from unlucky being an antonym for lucky (7 is a popular lucky number in Western culture). Many left handers are taught to do the opposite when learning new skills from a right handed instructor. Thus they consider 13 to be their "lucky" number as it is the opposite of 13 being the "unlucky" number.

The number is also considered unlucky by some as it is the sum of 1-4-5-3, the year of the fall of Constantinople to the Turks, marking the end of the Byzantine Empire.

In the Christian religion, the number is considered significant since there were thirteen present at the Last Supper. Also, if both Judas and Matthias are counted, there were thirteen apostles. Thirteen was also once associated with the Epiphany by Christians, the child Jesus having received the Magi on his thirteenth day of life.

In the Jewish tradition, 13 signifies the age of maturity, a 13 year old Jew is said to be Bar mitzvah. 13 appears in other places in the Hebrew Bible though not as often as other famous biblical numbers such as 7 and 12. In fact, one could say that for Jews, 13 is more of a lucky number than an unlucky one.

In the Sikh religion, the number 13 is considered a special number since 13 is tera in punjabi which also means yours. When Guru Nanak Dev Ji had a job of counting stocks of items. When he was counting he counted from 1 to 13 (in Punjabi) as normal but after 13 he would just repeat "tera" for all the items since all the items were in fact God's since God created them. When somebody heard this while passing and Guru Nanak Dev Ji was confronted about this his records were checked, it was a miracle since they were all perfect, yet he never seemed to count the items properly.

Modern day witches have reclaimed the number 13 as a lucky and significant number. This may be similar to witches reclaiming other previously negative terms and ideas associated with witchcraft, such as black cats, brooms, and even the term witch itself. In modern day Wicca, thirteen is considered the maximum size of a coven, and in some traditions the ideal number of members. In Gardnerian Wicca, the ideal coven has thirteen members.

Amongst some Chinese people, it is regarded as a lucky number because it is sounds similar to "實生", which means "must be alive". But this belief is not universal, or even known to all Chinese. Also, 13 is regarded as unlucky by those Chinese under the influence of foreign cultures.

In The Hitchhiker's Guide to the Galaxy, "What is six times nine" is posed as the question to the answer to life, the universe and everything (42). This is true in base 13.

In other fields

Thirteen is:



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