858
858 is a even composite number that follows 857 and precedes 859. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. Its prime factorization can be written as 2 × 3 × 11 × 13. 858 is classified as a abundant number based on the sum of its proper divisors. In computer science, 858 is represented as 1101011010 in binary and 35A in hexadecimal. Historically, it is written as DCCCLVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 13) reveals 4 prime building blocks.
Divisible by 2
858 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 58 are not divisible by 4.
Divisible by 5
858 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
858 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 858 within several notable number theory sequences:
Timeline
Deep dive
How 858 breaks down
858 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1158, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011010 supports bitwise reasoning, hexadecimal 35A aligns with computing notation, and the Roman numeral DCCCLVIII keeps the encyclopedic tradition alive. These attributes make 858 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 858 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (853–863) to tune search ranges, and educators feature 858 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 858 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 858
Is 858 a prime number?
858 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 13.
What is the prime factorization of 858?
It breaks down as 2 × 3 × 11 × 13, multiplying the primes 2 × 3 × 11 × 13.
How is 858 represented in binary and hexadecimal?
858 converts to 1101011010 in binary and 35A in hexadecimal, which are helpful for computer science applications.
Is 858 a perfect square, cube, or triangular number?
858 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 858?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.