498
498 is a even composite number that follows 497 and precedes 499. It is composed of 8 distinct factors: 1, 2, 3, 6, 83, 166, 249, 498. Its prime factorization can be written as 2 × 3 × 83. 498 is classified as a abundant number based on the sum of its proper divisors. In computer science, 498 is represented as 111110010 in binary and 1F2 in hexadecimal. Historically, it is written as CDXCVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 83) reveals 3 prime building blocks.
Divisible by 2
498 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
498 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 21 is not a multiple of 9.
Divisible by 10
498 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 498 within several notable number theory sequences:
Timeline
Deep dive
How 498 breaks down
498 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 510, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110010 supports bitwise reasoning, hexadecimal 1F2 aligns with computing notation, and the Roman numeral CDXCVIII keeps the encyclopedic tradition alive. These attributes make 498 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 498 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (493–503) to tune search ranges, and educators feature 498 in worksheets about factor trees. Its binary footprint of length 9 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 498 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 498
Is 498 a prime number?
498 is composite with 8 total factors and the prime factorization 2 × 3 × 83.
What is the prime factorization of 498?
It breaks down as 2 × 3 × 83, multiplying the primes 2 × 3 × 83.
How is 498 represented in binary and hexadecimal?
498 converts to 111110010 in binary and 1F2 in hexadecimal, which are helpful for computer science applications.
Is 498 a perfect square, cube, or triangular number?
498 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 498?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.