2698
2698 is a even composite number that follows 2697 and precedes 2699. It is composed of 8 distinct factors: 1, 2, 19, 38, 71, 142, 1349, 2698. Its prime factorization can be written as 2 × 19 × 71. 2698 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2698 is represented as 101010001010 in binary and A8A in hexadecimal. Historically, it is written as MMDCXCVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 19 × 71) reveals 3 prime building blocks.
Divisible by 2
2698 ends in 8, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
2698 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 25 is not a multiple of 9.
Divisible by 10
2698 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2698 within several notable number theory sequences:
Timeline
Deep dive
How 2698 breaks down
2698 carries 8 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1622, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010001010 supports bitwise reasoning, hexadecimal A8A aligns with computing notation, and the Roman numeral MMDCXCVIII keeps the encyclopedic tradition alive. These attributes make 2698 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2698 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2693–2703) to tune search ranges, and educators feature 2698 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 2698 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 2698
Is 2698 a prime number?
2698 is composite with 8 total factors and the prime factorization 2 × 19 × 71.
What is the prime factorization of 2698?
It breaks down as 2 × 19 × 71, multiplying the primes 2 × 19 × 71.
How is 2698 represented in binary and hexadecimal?
2698 converts to 101010001010 in binary and A8A in hexadecimal, which are helpful for computer science applications.
Is 2698 a perfect square, cube, or triangular number?
2698 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2698?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.