1155
1155 is a odd composite number that follows 1154 and precedes 1156. It is composed of 16 distinct factors: 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. Its prime factorization can be written as 3 × 5 × 7 × 11. 1155 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1155 is represented as 10010000011 in binary and 483 in hexadecimal. Historically, it is written as MCLV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 5 × 7 × 11) reveals 4 prime building blocks.
Divisible by 2
1155 ends in 5, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
1155 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
1155 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1155 within several notable number theory sequences:
Timeline
Deep dive
How 1155 breaks down
1155 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1149, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010000011 supports bitwise reasoning, hexadecimal 483 aligns with computing notation, and the Roman numeral MCLV keeps the encyclopedic tradition alive. These attributes make 1155 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1155 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1150–1160) to tune search ranges, and educators feature 1155 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1155 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 1155
Is 1155 a prime number?
1155 is composite with 16 total factors and the prime factorization 3 × 5 × 7 × 11.
What is the prime factorization of 1155?
It breaks down as 3 × 5 × 7 × 11, multiplying the primes 3 × 5 × 7 × 11.
How is 1155 represented in binary and hexadecimal?
1155 converts to 10010000011 in binary and 483 in hexadecimal, which are helpful for computer science applications.
Is 1155 a perfect square, cube, or triangular number?
1155 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1155?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.