Number reference
333 explained.
333: three hundred thirty-three, composite, repdigit; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- three hundred thirty-three
- Classification
- composite
- Factors
- 1, 3, 9, 37, 111, 333
- Prime factorization
- 3 × 3 × 37
- Square root
- 18.248288
- Cube root
- 6.931301
- Binary
- 101001101
- Octal
- 515
- Hexadecimal
- 14D
- Roman numeral
- CCCXXXIII
- Digit sum
- 9
- Digital root
- 9
What makes 333 notable
- Repdigit. 333 is written with a single repeated digit, so it is divisible by the repunit of the same length.
333 in everyday use
Three hundred thirty-three is a repdigit and exactly a third of 999, which is why it is the number people reach for when a third has to be written in whole units: a third of a thousand is 333 and a bit, and 0.333… is one third exactly. Halved it gives 166.5, and doubled it gives 666, the "number of the beast" from the Book of Revelation, a relationship that has given 333 its own place in folklore without any independent source of its own.
The number factors as 3² × 37, so it is 9 × 37 and also 3 × 111. Its digit sum is 9, and because that is divisible by 9, so is the number, an instance of the familiar digit-sum test. Multiply it by 3 and you get 999; multiply 37 by 9 and you get 333. It is 101001101 in binary and 14D in hexadecimal, has six divisors, and lies between the primes 331 and 337.
Nearby numbers
How to read this page
The factor list shows every way 333 splits into equal whole-number groups — 6 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 333 for contexts that do not use decimal.
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