1136
1136 is a even composite number that follows 1135 and precedes 1137. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136. Its prime factorization can be written as 2^4 × 71. 1136 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1136 is represented as 10001110000 in binary and 470 in hexadecimal. Historically, it is written as MCXXXVI in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 71) reveals 5 prime building blocks.
Divisible by 2
1136 ends in 6, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
1136 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
1136 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 1136 within several notable number theory sequences:
Timeline
Deep dive
How 1136 breaks down
1136 carries 10 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1096, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001110000 supports bitwise reasoning, hexadecimal 470 aligns with computing notation, and the Roman numeral MCXXXVI keeps the encyclopedic tradition alive. These attributes make 1136 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1136 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1131–1141) to tune search ranges, and educators feature 1136 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 1136 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 1136
Is 1136 a prime number?
1136 is composite with 10 total factors and the prime factorization 2^4 × 71.
What is the prime factorization of 1136?
It breaks down as 2^4 × 71, multiplying the primes 2 × 2 × 2 × 2 × 71.
How is 1136 represented in binary and hexadecimal?
1136 converts to 10001110000 in binary and 470 in hexadecimal, which are helpful for computer science applications.
Is 1136 a perfect square, cube, or triangular number?
1136 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1136?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.