3167
3167 is a odd prime number that follows 3166 and precedes 3168. As a prime number, 3167 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3167. 3167 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3167 is represented as 110001011111 in binary and C5F in hexadecimal. Historically, it is written as MMMCLXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3167 is prime, so its only factors are 1 and 3167.
Divisible by 2
3167 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
3167 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
3167 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 3167 within several notable number theory sequences:
Timeline
Deep dive
How 3167 breaks down
3167 carries 2 distinct factors and a digit signature of 17 (8 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 110001011111 supports bitwise reasoning, hexadecimal C5F aligns with computing notation, and the Roman numeral MMMCLXVII keeps the encyclopedic tradition alive. These attributes make 3167 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3167 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3162–3172) to tune search ranges, and educators feature 3167 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 3167 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 3167
Is 3167 a prime number?
3167 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3167?
3167 is already prime, so the factorization is simply 3167.
How is 3167 represented in binary and hexadecimal?
3167 converts to 110001011111 in binary and C5F in hexadecimal, which are helpful for computer science applications.
Is 3167 a perfect square, cube, or triangular number?
3167 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3167?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.