558
558 is a even composite number that follows 557 and precedes 559. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. Its prime factorization can be written as 2 × 3^2 × 31. 558 is classified as a abundant number based on the sum of its proper divisors. In computer science, 558 is represented as 1000101110 in binary and 22E in hexadecimal. Historically, it is written as DLVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 31) reveals 4 prime building blocks.
Divisible by 2
558 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 58 are not divisible by 4.
Divisible by 5
558 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 18 is a multiple of 9.
Divisible by 10
558 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 558 within several notable number theory sequences:
Timeline
Deep dive
How 558 breaks down
558 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 690, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000101110 supports bitwise reasoning, hexadecimal 22E aligns with computing notation, and the Roman numeral DLVIII keeps the encyclopedic tradition alive. These attributes make 558 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 558 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (553–563) to tune search ranges, and educators feature 558 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, Abundant numbers) help historians, numerologists, and trivia writers tie 558 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 558
Is 558 a prime number?
558 is composite with 12 total factors and the prime factorization 2 × 3^2 × 31.
What is the prime factorization of 558?
It breaks down as 2 × 3^2 × 31, multiplying the primes 2 × 3 × 3 × 31.
How is 558 represented in binary and hexadecimal?
558 converts to 1000101110 in binary and 22E in hexadecimal, which are helpful for computer science applications.
Is 558 a perfect square, cube, or triangular number?
558 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 558?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.