998
998 is a even composite number that follows 997 and precedes 999. It is composed of 4 distinct factors: 1, 2, 499, 998. Its prime factorization can be written as 2 × 499. 998 is classified as a deficient number based on the sum of its proper divisors. In computer science, 998 is represented as 1111100110 in binary and 3E6 in hexadecimal. Historically, it is written as CMXCVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 499) reveals 2 prime building blocks.
Divisible by 2
998 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
998 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 26 is not a multiple of 9.
Divisible by 10
998 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 998 within several notable number theory sequences:
Timeline
Deep dive
How 998 breaks down
998 carries 4 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 502, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111100110 supports bitwise reasoning, hexadecimal 3E6 aligns with computing notation, and the Roman numeral CMXCVIII keeps the encyclopedic tradition alive. These attributes make 998 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 998 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (993–1003) to tune search ranges, and educators feature 998 in worksheets about factor trees. Its binary footprint of length 10 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 998 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 998
Is 998 a prime number?
998 is composite with 4 total factors and the prime factorization 2 × 499.
What is the prime factorization of 998?
It breaks down as 2 × 499, multiplying the primes 2 × 499.
How is 998 represented in binary and hexadecimal?
998 converts to 1111100110 in binary and 3E6 in hexadecimal, which are helpful for computer science applications.
Is 998 a perfect square, cube, or triangular number?
998 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 998?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.