793
793 is a odd composite number that follows 792 and precedes 794. It is composed of 4 distinct factors: 1, 13, 61, 793. Its prime factorization can be written as 13 × 61. 793 is classified as a deficient number based on the sum of its proper divisors. In computer science, 793 is represented as 1100011001 in binary and 319 in hexadecimal. Historically, it is written as DCCXCIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 61) reveals 2 prime building blocks.
Divisible by 2
793 ends in 3, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
793 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 19 is not a multiple of 9.
Divisible by 10
793 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 793 within several notable number theory sequences:
Timeline
Deep dive
How 793 breaks down
793 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 75, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100011001 supports bitwise reasoning, hexadecimal 319 aligns with computing notation, and the Roman numeral DCCXCIII keeps the encyclopedic tradition alive. These attributes make 793 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 793 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (788–798) to tune search ranges, and educators feature 793 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 793 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 793
Is 793 a prime number?
793 is composite with 4 total factors and the prime factorization 13 × 61.
What is the prime factorization of 793?
It breaks down as 13 × 61, multiplying the primes 13 × 61.
How is 793 represented in binary and hexadecimal?
793 converts to 1100011001 in binary and 319 in hexadecimal, which are helpful for computer science applications.
Is 793 a perfect square, cube, or triangular number?
793 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 793?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.