3179
3179 is a odd composite number that follows 3178 and precedes 3180. It is composed of 6 distinct factors: 1, 11, 17, 187, 289, 3179. Its prime factorization can be written as 11 × 17^2. 3179 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3179 is represented as 110001101011 in binary and C6B in hexadecimal. Historically, it is written as MMMCLXXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (11 × 17^2) reveals 3 prime building blocks.
Divisible by 2
3179 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3179 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 20 is not a multiple of 9.
Divisible by 10
3179 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3179 within several notable number theory sequences:
Timeline
Deep dive
How 3179 breaks down
3179 carries 6 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 505, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001101011 supports bitwise reasoning, hexadecimal C6B aligns with computing notation, and the Roman numeral MMMCLXXIX keeps the encyclopedic tradition alive. These attributes make 3179 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3179 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3174–3184) to tune search ranges, and educators feature 3179 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3179 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 3179
Is 3179 a prime number?
3179 is composite with 6 total factors and the prime factorization 11 × 17^2.
What is the prime factorization of 3179?
It breaks down as 11 × 17^2, multiplying the primes 11 × 17 × 17.
How is 3179 represented in binary and hexadecimal?
3179 converts to 110001101011 in binary and C6B in hexadecimal, which are helpful for computer science applications.
Is 3179 a perfect square, cube, or triangular number?
3179 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3179?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.