794
794 is a even composite number that follows 793 and precedes 795. It is composed of 4 distinct factors: 1, 2, 397, 794. Its prime factorization can be written as 2 × 397. 794 is classified as a deficient number based on the sum of its proper divisors. In computer science, 794 is represented as 1100011010 in binary and 31A in hexadecimal. Historically, it is written as DCCXCIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 397) reveals 2 prime building blocks.
Divisible by 2
794 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
794 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
794 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 794 within several notable number theory sequences:
Timeline
Deep dive
How 794 breaks down
794 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 400, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100011010 supports bitwise reasoning, hexadecimal 31A aligns with computing notation, and the Roman numeral DCCXCIV keeps the encyclopedic tradition alive. These attributes make 794 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 794 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (789–799) to tune search ranges, and educators feature 794 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 794 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 794
Is 794 a prime number?
794 is composite with 4 total factors and the prime factorization 2 × 397.
What is the prime factorization of 794?
It breaks down as 2 × 397, multiplying the primes 2 × 397.
How is 794 represented in binary and hexadecimal?
794 converts to 1100011010 in binary and 31A in hexadecimal, which are helpful for computer science applications.
Is 794 a perfect square, cube, or triangular number?
794 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 794?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.