1071
1071 is a odd composite number that follows 1070 and precedes 1072. It is composed of 12 distinct factors: 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. Its prime factorization can be written as 3^2 × 7 × 17. 1071 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1071 is represented as 10000101111 in binary and 42F in hexadecimal. Historically, it is written as MLXXI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 7 × 17) reveals 4 prime building blocks.
Divisible by 2
1071 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
1071 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 9 is a multiple of 9.
Divisible by 10
1071 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 1071 within several notable number theory sequences:
Timeline
Deep dive
How 1071 breaks down
1071 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 801, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000101111 supports bitwise reasoning, hexadecimal 42F aligns with computing notation, and the Roman numeral MLXXI keeps the encyclopedic tradition alive. These attributes make 1071 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1071 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1066–1076) to tune search ranges, and educators feature 1071 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 1071 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 1071
Is 1071 a prime number?
1071 is composite with 12 total factors and the prime factorization 3^2 × 7 × 17.
What is the prime factorization of 1071?
It breaks down as 3^2 × 7 × 17, multiplying the primes 3 × 3 × 7 × 17.
How is 1071 represented in binary and hexadecimal?
1071 converts to 10000101111 in binary and 42F in hexadecimal, which are helpful for computer science applications.
Is 1071 a perfect square, cube, or triangular number?
1071 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1071?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.