3067
3067 is a odd prime number that follows 3066 and precedes 3068. As a prime number, 3067 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3067. 3067 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3067 is represented as 101111111011 in binary and BFB in hexadecimal. Historically, it is written as MMMLXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3067 is prime, so its only factors are 1 and 3067.
Divisible by 2
3067 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
3067 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 16 is not a multiple of 9.
Divisible by 10
3067 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3067 within several notable number theory sequences:
Timeline
Deep dive
How 3067 breaks down
3067 carries 2 distinct factors and a digit signature of 16 (7 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 101111111011 supports bitwise reasoning, hexadecimal BFB aligns with computing notation, and the Roman numeral MMMLXVII keeps the encyclopedic tradition alive. These attributes make 3067 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3067 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3062–3072) to tune search ranges, and educators feature 3067 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 3067 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 3067
Is 3067 a prime number?
3067 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3067?
3067 is already prime, so the factorization is simply 3067.
How is 3067 represented in binary and hexadecimal?
3067 converts to 101111111011 in binary and BFB in hexadecimal, which are helpful for computer science applications.
Is 3067 a perfect square, cube, or triangular number?
3067 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3067?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.