6998
6998 is a even composite number that follows 6997 and precedes 6999. It is composed of 4 distinct factors: 1, 2, 3499, 6998. Its prime factorization can be written as 2 × 3499. 6998 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6998 is represented as 1101101010110 in binary and 1B56 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 3499) reveals 2 prime building blocks.
Divisible by 2
6998 ends in 8, so it is even.
Divisible by 3
The digit sum 32 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
6998 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 32 is not a multiple of 9.
Divisible by 10
6998 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 6998 within several notable number theory sequences:
Timeline
Deep dive
How 6998 breaks down
6998 carries 4 distinct factors and a digit signature of 32 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 3502, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101010110 supports bitwise reasoning, hexadecimal 1B56 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6998 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6998 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6993–7003) to tune search ranges, and educators feature 6998 in worksheets about factor trees. Its binary footprint of length 13 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 6998 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 6998
Is 6998 a prime number?
6998 is composite with 4 total factors and the prime factorization 2 × 3499.
What is the prime factorization of 6998?
It breaks down as 2 × 3499, multiplying the primes 2 × 3499.
How is 6998 represented in binary and hexadecimal?
6998 converts to 1101101010110 in binary and 1B56 in hexadecimal, which are helpful for computer science applications.
Is 6998 a perfect square, cube, or triangular number?
6998 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6998?
The digits sum to 32, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.