1165
1165 is a odd composite number that follows 1164 and precedes 1166. It is composed of 4 distinct factors: 1, 5, 233, 1165. Its prime factorization can be written as 5 × 233. 1165 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1165 is represented as 10010001101 in binary and 48D in hexadecimal. Historically, it is written as MCLXV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 233) reveals 2 prime building blocks.
Divisible by 2
1165 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
1165 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 13 is not a multiple of 9.
Divisible by 10
1165 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 1165 within several notable number theory sequences:
Timeline
Deep dive
How 1165 breaks down
1165 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 239, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010001101 supports bitwise reasoning, hexadecimal 48D aligns with computing notation, and the Roman numeral MCLXV keeps the encyclopedic tradition alive. These attributes make 1165 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1165 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1160–1170) to tune search ranges, and educators feature 1165 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 1165 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 1165
Is 1165 a prime number?
1165 is composite with 4 total factors and the prime factorization 5 × 233.
What is the prime factorization of 1165?
It breaks down as 5 × 233, multiplying the primes 5 × 233.
How is 1165 represented in binary and hexadecimal?
1165 converts to 10010001101 in binary and 48D in hexadecimal, which are helpful for computer science applications.
Is 1165 a perfect square, cube, or triangular number?
1165 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1165?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.