2694
2694 is a even composite number that follows 2693 and precedes 2695. It is composed of 8 distinct factors: 1, 2, 3, 6, 449, 898, 1347, 2694. Its prime factorization can be written as 2 × 3 × 449. 2694 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2694 is represented as 101010000110 in binary and A86 in hexadecimal. Historically, it is written as MMDCXCIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 449) reveals 3 prime building blocks.
Divisible by 2
2694 ends in 4, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
2694 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
2694 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 2694 within several notable number theory sequences:
Timeline
Deep dive
How 2694 breaks down
2694 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 2706, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010000110 supports bitwise reasoning, hexadecimal A86 aligns with computing notation, and the Roman numeral MMDCXCIV keeps the encyclopedic tradition alive. These attributes make 2694 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2694 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2689–2699) to tune search ranges, and educators feature 2694 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2694 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 2694
Is 2694 a prime number?
2694 is composite with 8 total factors and the prime factorization 2 × 3 × 449.
What is the prime factorization of 2694?
It breaks down as 2 × 3 × 449, multiplying the primes 2 × 3 × 449.
How is 2694 represented in binary and hexadecimal?
2694 converts to 101010000110 in binary and A86 in hexadecimal, which are helpful for computer science applications.
Is 2694 a perfect square, cube, or triangular number?
2694 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2694?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.