4367
4367 is a odd composite number that follows 4366 and precedes 4368. It is composed of 4 distinct factors: 1, 11, 397, 4367. Its prime factorization can be written as 11 × 397. 4367 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4367 is represented as 1000100001111 in binary and 110F in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 397) reveals 2 prime building blocks.
Divisible by 2
4367 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
4367 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
4367 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4367 within several notable number theory sequences:
Timeline
Deep dive
How 4367 breaks down
4367 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 409, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100001111 supports bitwise reasoning, hexadecimal 110F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4367 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4367 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4362–4372) to tune search ranges, and educators feature 4367 in worksheets about factor trees. Its binary footprint of length 13 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 4367 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 4367
Is 4367 a prime number?
4367 is composite with 4 total factors and the prime factorization 11 × 397.
What is the prime factorization of 4367?
It breaks down as 11 × 397, multiplying the primes 11 × 397.
How is 4367 represented in binary and hexadecimal?
4367 converts to 1000100001111 in binary and 110F in hexadecimal, which are helpful for computer science applications.
Is 4367 a perfect square, cube, or triangular number?
4367 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4367?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.