3374
3374 is a even composite number that follows 3373 and precedes 3375. It is composed of 8 distinct factors: 1, 2, 7, 14, 241, 482, 1687, 3374. Its prime factorization can be written as 2 × 7 × 241. 3374 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3374 is represented as 110100101110 in binary and D2E in hexadecimal. Historically, it is written as MMMCCCLXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 241) reveals 3 prime building blocks.
Divisible by 2
3374 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
3374 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
3374 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 3374 within several notable number theory sequences:
Timeline
Deep dive
How 3374 breaks down
3374 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 2434, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100101110 supports bitwise reasoning, hexadecimal D2E aligns with computing notation, and the Roman numeral MMMCCCLXXIV keeps the encyclopedic tradition alive. These attributes make 3374 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3374 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3369–3379) to tune search ranges, and educators feature 3374 in worksheets about factor trees. Its binary footprint of length 12 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 3374 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 3374
Is 3374 a prime number?
3374 is composite with 8 total factors and the prime factorization 2 × 7 × 241.
What is the prime factorization of 3374?
It breaks down as 2 × 7 × 241, multiplying the primes 2 × 7 × 241.
How is 3374 represented in binary and hexadecimal?
3374 converts to 110100101110 in binary and D2E in hexadecimal, which are helpful for computer science applications.
Is 3374 a perfect square, cube, or triangular number?
3374 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3374?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.