674
674 is a even composite number that follows 673 and precedes 675. It is composed of 4 distinct factors: 1, 2, 337, 674. Its prime factorization can be written as 2 × 337. 674 is classified as a deficient number based on the sum of its proper divisors. In computer science, 674 is represented as 1010100010 in binary and 2A2 in hexadecimal. Historically, it is written as DCLXXIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 337) reveals 2 prime building blocks.
Divisible by 2
674 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
674 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 17 is not a multiple of 9.
Divisible by 10
674 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 674 within several notable number theory sequences:
Timeline
Deep dive
How 674 breaks down
674 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 340, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010100010 supports bitwise reasoning, hexadecimal 2A2 aligns with computing notation, and the Roman numeral DCLXXIV keeps the encyclopedic tradition alive. These attributes make 674 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 674 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (669–679) to tune search ranges, and educators feature 674 in worksheets about factor trees. Its binary footprint of length 10 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 674 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 674
Is 674 a prime number?
674 is composite with 4 total factors and the prime factorization 2 × 337.
What is the prime factorization of 674?
It breaks down as 2 × 337, multiplying the primes 2 × 337.
How is 674 represented in binary and hexadecimal?
674 converts to 1010100010 in binary and 2A2 in hexadecimal, which are helpful for computer science applications.
Is 674 a perfect square, cube, or triangular number?
674 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 674?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.