3494
3494 is a even composite number that follows 3493 and precedes 3495. It is composed of 4 distinct factors: 1, 2, 1747, 3494. Its prime factorization can be written as 2 × 1747. 3494 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3494 is represented as 110110100110 in binary and DA6 in hexadecimal. Historically, it is written as MMMCDXCIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1747) reveals 2 prime building blocks.
Divisible by 2
3494 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
3494 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 20 is not a multiple of 9.
Divisible by 10
3494 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 3494 within several notable number theory sequences:
Timeline
Deep dive
How 3494 breaks down
3494 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1750, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110100110 supports bitwise reasoning, hexadecimal DA6 aligns with computing notation, and the Roman numeral MMMCDXCIV keeps the encyclopedic tradition alive. These attributes make 3494 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3494 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3489–3499) to tune search ranges, and educators feature 3494 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 3494 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 3494
Is 3494 a prime number?
3494 is composite with 4 total factors and the prime factorization 2 × 1747.
What is the prime factorization of 3494?
It breaks down as 2 × 1747, multiplying the primes 2 × 1747.
How is 3494 represented in binary and hexadecimal?
3494 converts to 110110100110 in binary and DA6 in hexadecimal, which are helpful for computer science applications.
Is 3494 a perfect square, cube, or triangular number?
3494 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3494?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.