2696
2696 is a even composite number that follows 2695 and precedes 2697. It is composed of 8 distinct factors: 1, 2, 4, 8, 337, 674, 1348, 2696. Its prime factorization can be written as 2^3 × 337. 2696 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2696 is represented as 101010001000 in binary and A88 in hexadecimal. Historically, it is written as MMDCXCVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 337) reveals 4 prime building blocks.
Divisible by 2
2696 ends in 6, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
2696 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 23 is not a multiple of 9.
Divisible by 10
2696 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 2696 within several notable number theory sequences:
Timeline
Deep dive
How 2696 breaks down
2696 carries 8 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2374, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010001000 supports bitwise reasoning, hexadecimal A88 aligns with computing notation, and the Roman numeral MMDCXCVI keeps the encyclopedic tradition alive. These attributes make 2696 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2696 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2691–2701) to tune search ranges, and educators feature 2696 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 2696 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 2696
Is 2696 a prime number?
2696 is composite with 8 total factors and the prime factorization 2^3 × 337.
What is the prime factorization of 2696?
It breaks down as 2^3 × 337, multiplying the primes 2 × 2 × 2 × 337.
How is 2696 represented in binary and hexadecimal?
2696 converts to 101010001000 in binary and A88 in hexadecimal, which are helpful for computer science applications.
Is 2696 a perfect square, cube, or triangular number?
2696 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2696?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.