1074
1074 is a even composite number that follows 1073 and precedes 1075. It is composed of 8 distinct factors: 1, 2, 3, 6, 179, 358, 537, 1074. Its prime factorization can be written as 2 × 3 × 179. 1074 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1074 is represented as 10000110010 in binary and 432 in hexadecimal. Historically, it is written as MLXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 179) reveals 3 prime building blocks.
Divisible by 2
1074 ends in 4, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
1074 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
1074 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 1074 within several notable number theory sequences:
Timeline
Deep dive
How 1074 breaks down
1074 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1086, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000110010 supports bitwise reasoning, hexadecimal 432 aligns with computing notation, and the Roman numeral MLXXIV keeps the encyclopedic tradition alive. These attributes make 1074 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1074 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1069–1079) to tune search ranges, and educators feature 1074 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, Abundant numbers) help historians, numerologists, and trivia writers tie 1074 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 1074
Is 1074 a prime number?
1074 is composite with 8 total factors and the prime factorization 2 × 3 × 179.
What is the prime factorization of 1074?
It breaks down as 2 × 3 × 179, multiplying the primes 2 × 3 × 179.
How is 1074 represented in binary and hexadecimal?
1074 converts to 10000110010 in binary and 432 in hexadecimal, which are helpful for computer science applications.
Is 1074 a perfect square, cube, or triangular number?
1074 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1074?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.