Number reference
444 explained.
444: four hundred forty-four, composite, repdigit; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- four hundred forty-four
- Classification
- composite
- Factors
- 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
- Prime factorization
- 2 × 2 × 3 × 37
- Square root
- 21.071308
- Cube root
- 7.628884
- Binary
- 110111100
- Octal
- 674
- Hexadecimal
- 1BC
- Roman numeral
- CDXLIV
- Digit sum
- 12
- Digital root
- 3
What makes 444 notable
- Repdigit. 444 is written with a single repeated digit, so it is divisible by the repunit of the same length.
444 in everyday use
Four hundred forty-four is a repdigit that most people met in the news: the Iran hostage crisis lasted 444 days, from 4 November 1979 to 20 January 1981, and the count was tracked on American television night after night. The number has been used since as shorthand for the episode. In Roman numerals it is CDXLIV, one of the longer three-digit numerals, and it appears on aircraft registrations and highway shields without particular meaning.
Factored, 444 is 2² × 3 × 37, and like every three-digit repdigit it is a multiple of 111 and hence of 37: 444 = 4 × 111 = 12 × 37. It has twelve divisors, and their sum excluding the number itself is 620, so it is abundant. It is 110111100 in binary and 1BC in hexadecimal. Its digit sum is 12, which divides it, making 444 a Harshad number, and it sits between the primes 443 and 449.
Nearby numbers
How to read this page
The factor list shows every way 444 splits into equal whole-number groups — 12 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 444 for contexts that do not use decimal.
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