3467
3467 is a odd prime number that follows 3466 and precedes 3468. As a prime number, 3467 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3467. 3467 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3467 is represented as 110110001011 in binary and D8B in hexadecimal. Historically, it is written as MMMCDLXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3467 is prime, so its only factors are 1 and 3467.
Divisible by 2
3467 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
3467 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
3467 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 3467 within several notable number theory sequences:
Timeline
Deep dive
How 3467 breaks down
3467 carries 2 distinct factors and a digit signature of 20 (2 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 110110001011 supports bitwise reasoning, hexadecimal D8B aligns with computing notation, and the Roman numeral MMMCDLXVII keeps the encyclopedic tradition alive. These attributes make 3467 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3467 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3462–3472) to tune search ranges, and educators feature 3467 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 3467 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 3467
Is 3467 a prime number?
3467 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3467?
3467 is already prime, so the factorization is simply 3467.
How is 3467 represented in binary and hexadecimal?
3467 converts to 110110001011 in binary and D8B in hexadecimal, which are helpful for computer science applications.
Is 3467 a perfect square, cube, or triangular number?
3467 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3467?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.