1150
1150 is a even composite number that follows 1149 and precedes 1151. It is composed of 12 distinct factors: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150. Its prime factorization can be written as 2 × 5^2 × 23. 1150 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1150 is represented as 10001111110 in binary and 47E in hexadecimal. Historically, it is written as MCL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 23) reveals 4 prime building blocks.
Divisible by 2
1150 ends in 0, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
1150 ends in 0, 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 7 is not a multiple of 9.
Divisible by 10
1150 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 1150 within several notable number theory sequences:
Timeline
Deep dive
How 1150 breaks down
1150 carries 12 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1082, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001111110 supports bitwise reasoning, hexadecimal 47E aligns with computing notation, and the Roman numeral MCL keeps the encyclopedic tradition alive. These attributes make 1150 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1150 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1145–1155) to tune search ranges, and educators feature 1150 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 1150 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 1150
Is 1150 a prime number?
1150 is composite with 12 total factors and the prime factorization 2 × 5^2 × 23.
What is the prime factorization of 1150?
It breaks down as 2 × 5^2 × 23, multiplying the primes 2 × 5 × 5 × 23.
How is 1150 represented in binary and hexadecimal?
1150 converts to 10001111110 in binary and 47E in hexadecimal, which are helpful for computer science applications.
Is 1150 a perfect square, cube, or triangular number?
1150 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1150?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.