1079
1079 is a odd composite number that follows 1078 and precedes 1080. It is composed of 4 distinct factors: 1, 13, 83, 1079. Its prime factorization can be written as 13 × 83. 1079 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1079 is represented as 10000110111 in binary and 437 in hexadecimal. Historically, it is written as MLXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 83) reveals 2 prime building blocks.
Divisible by 2
1079 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
1079 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 17 is not a multiple of 9.
Divisible by 10
1079 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 1079 within several notable number theory sequences:
Timeline
Deep dive
How 1079 breaks down
1079 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 97, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000110111 supports bitwise reasoning, hexadecimal 437 aligns with computing notation, and the Roman numeral MLXXIX keeps the encyclopedic tradition alive. These attributes make 1079 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1079 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1074–1084) to tune search ranges, and educators feature 1079 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 1079 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 1079
Is 1079 a prime number?
1079 is composite with 4 total factors and the prime factorization 13 × 83.
What is the prime factorization of 1079?
It breaks down as 13 × 83, multiplying the primes 13 × 83.
How is 1079 represented in binary and hexadecimal?
1079 converts to 10000110111 in binary and 437 in hexadecimal, which are helpful for computer science applications.
Is 1079 a perfect square, cube, or triangular number?
1079 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1079?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.