1073
1073 is a odd composite number that follows 1072 and precedes 1074. It is composed of 4 distinct factors: 1, 29, 37, 1073. Its prime factorization can be written as 29 × 37. 1073 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1073 is represented as 10000110001 in binary and 431 in hexadecimal. Historically, it is written as MLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (29 × 37) reveals 2 prime building blocks.
Divisible by 2
1073 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
1073 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
1073 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 1073 within several notable number theory sequences:
Timeline
Deep dive
How 1073 breaks down
1073 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 67, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000110001 supports bitwise reasoning, hexadecimal 431 aligns with computing notation, and the Roman numeral MLXXIII keeps the encyclopedic tradition alive. These attributes make 1073 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1073 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1068–1078) to tune search ranges, and educators feature 1073 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 1073 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 1073
Is 1073 a prime number?
1073 is composite with 4 total factors and the prime factorization 29 × 37.
What is the prime factorization of 1073?
It breaks down as 29 × 37, multiplying the primes 29 × 37.
How is 1073 represented in binary and hexadecimal?
1073 converts to 10000110001 in binary and 431 in hexadecimal, which are helpful for computer science applications.
Is 1073 a perfect square, cube, or triangular number?
1073 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1073?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.