1158
1158 is a even composite number that follows 1157 and precedes 1159. It is composed of 8 distinct factors: 1, 2, 3, 6, 193, 386, 579, 1158. Its prime factorization can be written as 2 × 3 × 193. 1158 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1158 is represented as 10010000110 in binary and 486 in hexadecimal. Historically, it is written as MCLVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 193) reveals 3 prime building blocks.
Divisible by 2
1158 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 58 are not divisible by 4.
Divisible by 5
1158 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 15 is not a multiple of 9.
Divisible by 10
1158 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 1158 within several notable number theory sequences:
Timeline
Deep dive
How 1158 breaks down
1158 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1170, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010000110 supports bitwise reasoning, hexadecimal 486 aligns with computing notation, and the Roman numeral MCLVIII keeps the encyclopedic tradition alive. These attributes make 1158 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1158 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1153–1163) to tune search ranges, and educators feature 1158 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 1158 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 1158
Is 1158 a prime number?
1158 is composite with 8 total factors and the prime factorization 2 × 3 × 193.
What is the prime factorization of 1158?
It breaks down as 2 × 3 × 193, multiplying the primes 2 × 3 × 193.
How is 1158 represented in binary and hexadecimal?
1158 converts to 10010000110 in binary and 486 in hexadecimal, which are helpful for computer science applications.
Is 1158 a perfect square, cube, or triangular number?
1158 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1158?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.