334
334 is a even composite number that follows 333 and precedes 335. It is composed of 4 distinct factors: 1, 2, 167, 334. Its prime factorization can be written as 2 × 167. 334 is classified as a deficient number based on the sum of its proper divisors. In computer science, 334 is represented as 101001110 in binary and 14E in hexadecimal. Historically, it is written as CCCXXXIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 167) reveals 2 prime building blocks.
Divisible by 2
334 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 34 are not divisible by 4.
Divisible by 5
334 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 10 is not a multiple of 9.
Divisible by 10
334 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 334 within several notable number theory sequences:
Timeline
Deep dive
How 334 breaks down
334 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 170, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001110 supports bitwise reasoning, hexadecimal 14E aligns with computing notation, and the Roman numeral CCCXXXIV keeps the encyclopedic tradition alive. These attributes make 334 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 334 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (329–339) to tune search ranges, and educators feature 334 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 334 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 334
Is 334 a prime number?
334 is composite with 4 total factors and the prime factorization 2 × 167.
What is the prime factorization of 334?
It breaks down as 2 × 167, multiplying the primes 2 × 167.
How is 334 represented in binary and hexadecimal?
334 converts to 101001110 in binary and 14E in hexadecimal, which are helpful for computer science applications.
Is 334 a perfect square, cube, or triangular number?
334 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 334?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.