3794
3794 is a even composite number that follows 3793 and precedes 3795. It is composed of 8 distinct factors: 1, 2, 7, 14, 271, 542, 1897, 3794. Its prime factorization can be written as 2 × 7 × 271. 3794 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3794 is represented as 111011010010 in binary and ED2 in hexadecimal. Historically, it is written as MMMDCCXCIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 271) reveals 3 prime building blocks.
Divisible by 2
3794 ends in 4, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
3794 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 23 is not a multiple of 9.
Divisible by 10
3794 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 3794 within several notable number theory sequences:
Timeline
Deep dive
How 3794 breaks down
3794 carries 8 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2734, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011010010 supports bitwise reasoning, hexadecimal ED2 aligns with computing notation, and the Roman numeral MMMDCCXCIV keeps the encyclopedic tradition alive. These attributes make 3794 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3794 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3789–3799) to tune search ranges, and educators feature 3794 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 3794 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 3794
Is 3794 a prime number?
3794 is composite with 8 total factors and the prime factorization 2 × 7 × 271.
What is the prime factorization of 3794?
It breaks down as 2 × 7 × 271, multiplying the primes 2 × 7 × 271.
How is 3794 represented in binary and hexadecimal?
3794 converts to 111011010010 in binary and ED2 in hexadecimal, which are helpful for computer science applications.
Is 3794 a perfect square, cube, or triangular number?
3794 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3794?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.