233 (number)
Encyclopedia
233 is the natural number
between 232 and 234. It is also a prime number
.
, a Chen prime
, a Fibonacci prime
and a sexy prime
. It is the 13th Fibonacci number
. It is an Eisenstein prime
of the form
with no imaginary part. Since 233 × 2 + 1 = 467, another prime, 233 is a Sophie Germain prime
. 233 is also a prime triplet
(with 227
and 229
).
It is the 13th Fibonacci number
, being the sum of 89 and 144. Being an odd-indexed Fibonacci number, it is also a Markov number
, appearing in solutions to the Markov Diophantine equation: (1, 89, 233), (89, 233, 610), (233, 610, 426389), ...
In base 10 there is no integer that added up to its own digits yields 233, hence 233 is a self number
. In base 3, the sum of 233's digits is composite; no smaller prime has this property.
and Internet discourse, 233 is sometimes used instead of BFF
to abbreviate "Best Friends Forever." The digits correspond to the number keys that would be pressed on a telephone while sending a text message. In Windows live messenger 233 is a commonly used to represent the emoticon of raised eybrows.
by Mark Haddon
, which uses all prime numbers for its chapters due to its narrator's Asperger's syndrome
.
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...
between 232 and 234. It is also a prime number
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
.
| Ordinal Ordinal number In set theory, an ordinal number, or just ordinal, is the order type of a well-ordered set. They are usually identified with hereditarily transitive sets. Ordinals are an extension of the natural numbers different from integers and from cardinals... | Two hundred [and] thirty-three |
| Cardinal Cardinal number In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number – the number of elements in the set. The transfinite cardinal numbers describe the sizes of infinite... | 233rd Two hundred and thirty-third |
| Factorization Factorization In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original... |
prime number Prime number A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2... |
| Roman numeral | CCXXXIII |
| Binary Binary numeral system The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2... |
11101001 |
| Hexadecimal Hexadecimal In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen... |
E9 |
In mathematics
233 is an irregular prime, a full reptend prime, a cousin primeCousin prime
In mathematics, cousin primes are prime numbers that differ by four; compare this with twin primes, pairs of prime numbers that differ by two, and sexy primes, pairs of prime numbers that differ by six....
, a Chen prime
Chen prime
A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. The even number 2p + 2 therefore satisfies Chen's theorem....
, a Fibonacci prime
Fibonacci prime
A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime.The first Fibonacci primes are :-Known Fibonacci primes:It is not known if there are infinitely many Fibonacci primes...
and a sexy prime
Sexy prime
In mathematics, a sexy prime is a prime number that differs from another prime number by six. For example, the numbers 5 and 11 are both sexy primes, because they differ by 6...
. It is the 13th Fibonacci number
Fibonacci number
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence:0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots\; ....
. It is an Eisenstein prime
Eisenstein prime
In mathematics, an Eisenstein prime is an Eisenstein integerz = a + b\,\omega\qquadthat is irreducible in the ring-theoretic sense: its only Eisenstein divisors are the units , a + bω itself and its associates.The associates and the complex conjugate...
of the form
with no imaginary part. Since 233 × 2 + 1 = 467, another prime, 233 is a Sophie Germain primeSophie Germain prime
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...
. 233 is also a prime triplet
Prime triplet
In mathematics, a prime triplet is a set of three prime numbers of the form or...
(with 227
227 (number)
227 is the natural number between 226 and 228. It is also a prime number.-In mathematics:227 is a prime number, and a twin prime with 229 . 223 plus 4 is 227, so they are cousin primes...
and 229
229 (number)
229 is the natural number between 228 and 230. It is also a prime number.The North American telephone area code 229 is assigned to the area around the city of Albany in southwestern Georgia in North America....
).
It is the 13th Fibonacci number
Fibonacci number
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence:0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots\; ....
, being the sum of 89 and 144. Being an odd-indexed Fibonacci number, it is also a Markov number
Markov number
A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equationx^2 + y^2 + z^2 = 3xyz,\,studied by .The first few Markov numbers are...
, appearing in solutions to the Markov Diophantine equation: (1, 89, 233), (89, 233, 610), (233, 610, 426389), ...
In base 10 there is no integer that added up to its own digits yields 233, hence 233 is a self number
Self number
A self number, Colombian number or Devlali number is an integer which, in a given base, cannot be generated by any other integer added to the sum of that other integer's digits. For example, 21 is not a self number, since it can be generated by the sum of 15 and the digits comprising 15, that is,...
. In base 3, the sum of 233's digits is composite; no smaller prime has this property.
In other fields
In current teenage slangSlang
Slang is the use of informal words and expressions that are not considered standard in the speaker's language or dialect but are considered more acceptable when used socially. Slang is often to be found in areas of the lexicon that refer to things considered taboo...
and Internet discourse, 233 is sometimes used instead of BFF
Best friends forever
Best friends forever or BFF is a close friendship typical of teenage and young women. Such relationships are common in high school but, rather than lasting forever, tend to deteriorate when the parties go to college....
to abbreviate "Best Friends Forever." The digits correspond to the number keys that would be pressed on a telephone while sending a text message. In Windows live messenger 233 is a commonly used to represent the emoticon of raised eybrows.
In literature
233 is the final chapter of The Curious Incident of the Dog in the Night-timeThe Curious Incident of the Dog in the Night-time
The Curious Incident of the Dog in the Night-Time is a 2003 novel by British writer Mark Haddon. It won the 2003 Whitbread Book of the Year and the 2004 Commonwealth Writers' Prize for Best First Book...
by Mark Haddon
Mark Haddon
Mark Haddon is an English novelist and poet, best known for his 2003 novel The Curious Incident of the Dog in the Night-Time.- Life and work :...
, which uses all prime numbers for its chapters due to its narrator's Asperger's syndrome
Asperger syndrome
Asperger's syndrome that is characterized by significant difficulties in social interaction, alongside restricted and repetitive patterns of behavior and interests. It differs from other autism spectrum disorders by its relative preservation of linguistic and cognitive development...
.