598
598 is a even composite number that follows 597 and precedes 599. It is composed of 8 distinct factors: 1, 2, 13, 23, 26, 46, 299, 598. Its prime factorization can be written as 2 × 13 × 23. 598 is classified as a deficient number based on the sum of its proper divisors. In computer science, 598 is represented as 1001010110 in binary and 256 in hexadecimal. Historically, it is written as DXCVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 23) reveals 3 prime building blocks.
Divisible by 2
598 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
598 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 22 is not a multiple of 9.
Divisible by 10
598 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 598 within several notable number theory sequences:
Timeline
Deep dive
How 598 breaks down
598 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 410, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010110 supports bitwise reasoning, hexadecimal 256 aligns with computing notation, and the Roman numeral DXCVIII keeps the encyclopedic tradition alive. These attributes make 598 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 598 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (593–603) to tune search ranges, and educators feature 598 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 598 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 598
Is 598 a prime number?
598 is composite with 8 total factors and the prime factorization 2 × 13 × 23.
What is the prime factorization of 598?
It breaks down as 2 × 13 × 23, multiplying the primes 2 × 13 × 23.
How is 598 represented in binary and hexadecimal?
598 converts to 1001010110 in binary and 256 in hexadecimal, which are helpful for computer science applications.
Is 598 a perfect square, cube, or triangular number?
598 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 598?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.