3094
3094 is a even composite number that follows 3093 and precedes 3095. It is composed of 16 distinct factors: 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094. Its prime factorization can be written as 2 × 7 × 13 × 17. 3094 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3094 is represented as 110000010110 in binary and C16 in hexadecimal. Historically, it is written as MMMXCIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 13 × 17) reveals 4 prime building blocks.
Divisible by 2
3094 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
3094 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 16 is not a multiple of 9.
Divisible by 10
3094 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 3094 within several notable number theory sequences:
Timeline
Deep dive
How 3094 breaks down
3094 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2954, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000010110 supports bitwise reasoning, hexadecimal C16 aligns with computing notation, and the Roman numeral MMMXCIV keeps the encyclopedic tradition alive. These attributes make 3094 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3094 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3089–3099) to tune search ranges, and educators feature 3094 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 3094 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 3094
Is 3094 a prime number?
3094 is composite with 16 total factors and the prime factorization 2 × 7 × 13 × 17.
What is the prime factorization of 3094?
It breaks down as 2 × 7 × 13 × 17, multiplying the primes 2 × 7 × 13 × 17.
How is 3094 represented in binary and hexadecimal?
3094 converts to 110000010110 in binary and C16 in hexadecimal, which are helpful for computer science applications.
Is 3094 a perfect square, cube, or triangular number?
3094 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3094?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.