233 (number) Article Index for
233 		 

Information About

233 (number)
SHOPPER'S DELIGHT
 
Shop For:  
Department
Price Minimum:
Price Maximum:
      





Ordinal Two hundred {Link without Title}
thirty-three
Cardinal 233rd
Two hundred and thirty-third
Factorization Prime Number
Roman Numeral CCXXXIII
Binary 11101001
Hexadecimal E9



IN MATHEMATICS


233 is an Irregular Prime , a Full Reptend Prime , a Cousin Prime , and a Sexy Prime . It is an Eisenstein Prime of the form 3n - 1 with no imaginary part. Since 233 × 2 + 1 = 467, another prime, 233 is a Sophie Germain Prime .

It is a 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.