Number 18

18 (eighteen) is the natural number following 17 and preceding 19.

← 17 18 19 →
Cardinaleighteen
Ordinal18th
(eighteenth)
Numeral systemoctodecimal
Factorization2 × 32
Divisors1, 2, 3, 6, 9, 18
Greek numeralΙΗ´
Roman numeralXVIII
Binary100102
Ternary2003
Senary306
Octal228
Duodecimal1612
Hexadecimal1216
Hebrew numeralי"ח
Babylonian numeral𒌋𒐜

In mathematics

  • Eighteen is the tenth composite number, its divisors being 1, 2, 3, 6 and 9. Three of these divisors (3, 6 and 9) add up to 18, hence 18 is a semiperfect number. Eighteen is the first inverted square-prime of the form p·q2.
  • In base ten, it is a Harshad number.
  • It is an abundant number, as the sum of its proper divisors is greater than itself (1+2+3+6+9 = 21). It is known to be a solitary number, despite not being coprime to this sum.
  • It is the number of one-sided pentominoes.
  • It is the only number where the sum of its written digits in base 10 (1+8 = 9) is equal to half of itself (18/2 = 9).
  • It is a Fine number.

In science

Chemistry

In religion and literature

  • The Hebrew word for "life" is חי (chai), which has a numerical value of 18. Consequently, the custom has arisen in Jewish circles to give donations and monetary gifts in multiples of 18 as an expression of blessing for long life.
  • In Judaism, in the Talmud; Pirkei Avot (5:25), Rabbi Yehudah ben Teime gives the age of 18 as the appropriate age to get married ("Ben shmonah esra lechupah", at eighteen years old to the Chupah (marriage canopy)). (See Coming of age, Age of majority).
  • Shemoneh Esrei (sh'MOH-nuh ES-ray) is a prayer that is the center of any Jewish religious service. Its name means "eighteen". The prayer is also known as the Amidah.
  • In Ancient Roman custom the number 18 can symbolise a blood relative.
  • Joseph Heller's novel Catch-22 was originally named Catch-18 because of the Hebrew meaning of the number, but was amended to the published title to avoid confusion with another war novel, Mila 18.
  • There are 18 chapters in the Bhagavad Gita, which is contained in the Mahabharata, which has 18 books. The Kurukshetra War which the epic depicts, is between 18 armies (11 on the Kuru side, 7 on the Pandava). The war itself lasts for 18 days. In the other Hindu epic, the Ramayana, the war between Rama and the demons also lasted 18 days.
  • In Babism the first 18 disciples of the Báb were known as the Letters of the Living.

As lucky or unlucky number

  • In Chinese tradition, 18 is pronounced 十八; shí bā and is considered a lucky number due to similarity with 實發; shì fā 'definitely get rich', 'to get rich for sure'.
  • According to applications of numerology in Judaism, the letters of the word chai ("living") add up to 18. Thus, 18 is considered a lucky number and many gifts for B'nai Mitzvot and weddings are in $18 increments.

Age 18

In most countries, 18 is the age of majority, in which a minor becomes a legal adult. It is also the voting age, marriageable age, drinking age and smoking age in most countries, though sometimes these ages are different than the age of majority. Many websites restrict adult content to visitors who claim to be aged over 18.

  • In the United States, 18 is the:
    • Age for sexual consent in eleven states and under federal law.
    • Minimum age to purchase firearms in thirty-eight states with the exception of handguns (21 under federal law).
    • Marriageable age without parental consent except for Nebraska (19), Mississippi and Puerto Rico (21).
    • The minimum age at which one can purchase, rent, or buy tickets to NC-17-rated films or buy video games with an Adults Only rating.
  • In the UK, it is the legal age to purchase a BBFC "18" rated film.

In sports

See also

Notes

Tags:

Number 18 In mathematicsNumber 18 In scienceNumber 18 In religion and literatureNumber 18 As lucky or unlucky numberNumber 18 Age 18Number 18 In sportsNumber 1817 (number)19 (number)Natural number

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