4267
4267 is a odd composite number that follows 4266 and precedes 4268. It is composed of 4 distinct factors: 1, 17, 251, 4267. Its prime factorization can be written as 17 × 251. 4267 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4267 is represented as 1000010101011 in binary and 10AB in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 251) reveals 2 prime building blocks.
Divisible by 2
4267 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
4267 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 19 is not a multiple of 9.
Divisible by 10
4267 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 4267 within several notable number theory sequences:
Timeline
Deep dive
How 4267 breaks down
4267 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 269, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010101011 supports bitwise reasoning, hexadecimal 10AB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4267 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4267 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4262–4272) to tune search ranges, and educators feature 4267 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 4267 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 4267
Is 4267 a prime number?
4267 is composite with 4 total factors and the prime factorization 17 × 251.
What is the prime factorization of 4267?
It breaks down as 17 × 251, multiplying the primes 17 × 251.
How is 4267 represented in binary and hexadecimal?
4267 converts to 1000010101011 in binary and 10AB in hexadecimal, which are helpful for computer science applications.
Is 4267 a perfect square, cube, or triangular number?
4267 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4267?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.