2793
2793 is a odd composite number that follows 2792 and precedes 2794. It is composed of 12 distinct factors: 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793. Its prime factorization can be written as 3 × 7^2 × 19. 2793 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2793 is represented as 101011101001 in binary and AE9 in hexadecimal. Historically, it is written as MMDCCXCIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 7^2 × 19) reveals 4 prime building blocks.
Divisible by 2
2793 ends in 3, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
2793 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 21 is not a multiple of 9.
Divisible by 10
2793 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 2793 within several notable number theory sequences:
Timeline
Deep dive
How 2793 breaks down
2793 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1767, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011101001 supports bitwise reasoning, hexadecimal AE9 aligns with computing notation, and the Roman numeral MMDCCXCIII keeps the encyclopedic tradition alive. These attributes make 2793 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2793 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2788–2798) to tune search ranges, and educators feature 2793 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 2793 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 2793
Is 2793 a prime number?
2793 is composite with 12 total factors and the prime factorization 3 × 7^2 × 19.
What is the prime factorization of 2793?
It breaks down as 3 × 7^2 × 19, multiplying the primes 3 × 7 × 7 × 19.
How is 2793 represented in binary and hexadecimal?
2793 converts to 101011101001 in binary and AE9 in hexadecimal, which are helpful for computer science applications.
Is 2793 a perfect square, cube, or triangular number?
2793 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2793?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.