2708
2708 is a even composite number that follows 2707 and precedes 2709. It is composed of 6 distinct factors: 1, 2, 4, 677, 1354, 2708. Its prime factorization can be written as 2^2 × 677. 2708 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2708 is represented as 101010010100 in binary and A94 in hexadecimal. Historically, it is written as MMDCCVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 677) reveals 3 prime building blocks.
Divisible by 2
2708 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
2708 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 17 is not a multiple of 9.
Divisible by 10
2708 does not end in 0.
Divisible by 11
The alternating digit sum -13 is not a multiple of 11.
Deficient classification and digit analytics place 2708 within several notable number theory sequences:
Timeline
Deep dive
How 2708 breaks down
2708 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 2038, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010010100 supports bitwise reasoning, hexadecimal A94 aligns with computing notation, and the Roman numeral MMDCCVIII keeps the encyclopedic tradition alive. These attributes make 2708 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2708 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2703–2713) to tune search ranges, and educators feature 2708 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 2708 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 2708
Is 2708 a prime number?
2708 is composite with 6 total factors and the prime factorization 2^2 × 677.
What is the prime factorization of 2708?
It breaks down as 2^2 × 677, multiplying the primes 2 × 2 × 677.
How is 2708 represented in binary and hexadecimal?
2708 converts to 101010010100 in binary and A94 in hexadecimal, which are helpful for computer science applications.
Is 2708 a perfect square, cube, or triangular number?
2708 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2708?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.