3079
3079 is a odd prime number that follows 3078 and precedes 3080. As a prime number, 3079 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3079. 3079 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3079 is represented as 110000000111 in binary and C07 in hexadecimal. Historically, it is written as MMMLXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3079 is prime, so its only factors are 1 and 3079.
Divisible by 2
3079 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3079 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 19 is not a multiple of 9.
Divisible by 10
3079 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 3079 within several notable number theory sequences:
Timeline
Deep dive
How 3079 breaks down
3079 carries 2 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000000111 supports bitwise reasoning, hexadecimal C07 aligns with computing notation, and the Roman numeral MMMLXXIX keeps the encyclopedic tradition alive. These attributes make 3079 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3079 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3074–3084) to tune search ranges, and educators feature 3079 in worksheets about prime identification. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3079 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 3079
Is 3079 a prime number?
3079 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3079?
3079 is already prime, so the factorization is simply 3079.
How is 3079 represented in binary and hexadecimal?
3079 converts to 110000000111 in binary and C07 in hexadecimal, which are helpful for computer science applications.
Is 3079 a perfect square, cube, or triangular number?
3079 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3079?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.