1998
1998 is a even composite number that follows 1997 and precedes 1999. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998. Its prime factorization can be written as 2 × 3^3 × 37. 1998 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1998 is represented as 11111001110 in binary and 7CE in hexadecimal. Historically, it is written as MCMXCVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 37) reveals 5 prime building blocks.
Divisible by 2
1998 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
1998 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
1998 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 1998 within several notable number theory sequences:
Timeline
Deep dive
How 1998 breaks down
1998 carries 16 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2562, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111001110 supports bitwise reasoning, hexadecimal 7CE aligns with computing notation, and the Roman numeral MCMXCVIII keeps the encyclopedic tradition alive. These attributes make 1998 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1998 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1993–2003) to tune search ranges, and educators feature 1998 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 1998 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 1998
Is 1998 a prime number?
1998 is composite with 16 total factors and the prime factorization 2 × 3^3 × 37.
What is the prime factorization of 1998?
It breaks down as 2 × 3^3 × 37, multiplying the primes 2 × 3 × 3 × 3 × 37.
How is 1998 represented in binary and hexadecimal?
1998 converts to 11111001110 in binary and 7CE in hexadecimal, which are helpful for computer science applications.
Is 1998 a perfect square, cube, or triangular number?
1998 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1998?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.