2794
2794 is a even composite number that follows 2793 and precedes 2795. It is composed of 8 distinct factors: 1, 2, 11, 22, 127, 254, 1397, 2794. Its prime factorization can be written as 2 × 11 × 127. 2794 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2794 is represented as 101011101010 in binary and AEA in hexadecimal. Historically, it is written as MMDCCXCIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 127) reveals 3 prime building blocks.
Divisible by 2
2794 ends in 4, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
2794 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 22 is not a multiple of 9.
Divisible by 10
2794 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2794 within several notable number theory sequences:
Timeline
Deep dive
How 2794 breaks down
2794 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1814, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011101010 supports bitwise reasoning, hexadecimal AEA aligns with computing notation, and the Roman numeral MMDCCXCIV keeps the encyclopedic tradition alive. These attributes make 2794 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2794 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2789–2799) to tune search ranges, and educators feature 2794 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 2794 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 2794
Is 2794 a prime number?
2794 is composite with 8 total factors and the prime factorization 2 × 11 × 127.
What is the prime factorization of 2794?
It breaks down as 2 × 11 × 127, multiplying the primes 2 × 11 × 127.
How is 2794 represented in binary and hexadecimal?
2794 converts to 101011101010 in binary and AEA in hexadecimal, which are helpful for computer science applications.
Is 2794 a perfect square, cube, or triangular number?
2794 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2794?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.