1067
1067 is a odd composite number that follows 1066 and precedes 1068. It is composed of 4 distinct factors: 1, 11, 97, 1067. Its prime factorization can be written as 11 × 97. 1067 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1067 is represented as 10000101011 in binary and 42B in hexadecimal. Historically, it is written as MLXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 97) reveals 2 prime building blocks.
Divisible by 2
1067 ends in 7, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
1067 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 14 is not a multiple of 9.
Divisible by 10
1067 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1067 within several notable number theory sequences:
Timeline
Deep dive
How 1067 breaks down
1067 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 109, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000101011 supports bitwise reasoning, hexadecimal 42B aligns with computing notation, and the Roman numeral MLXVII keeps the encyclopedic tradition alive. These attributes make 1067 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1067 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1062–1072) to tune search ranges, and educators feature 1067 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 1067 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 1067
Is 1067 a prime number?
1067 is composite with 4 total factors and the prime factorization 11 × 97.
What is the prime factorization of 1067?
It breaks down as 11 × 97, multiplying the primes 11 × 97.
How is 1067 represented in binary and hexadecimal?
1067 converts to 10000101011 in binary and 42B in hexadecimal, which are helpful for computer science applications.
Is 1067 a perfect square, cube, or triangular number?
1067 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1067?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.