7267
7267 is a odd composite number that follows 7266 and precedes 7268. It is composed of 6 distinct factors: 1, 13, 43, 169, 559, 7267. Its prime factorization can be written as 13^2 × 43. 7267 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7267 is represented as 1110001100011 in binary and 1C63 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (13^2 × 43) reveals 3 prime building blocks.
Divisible by 2
7267 ends in 7, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
7267 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 22 is not a multiple of 9.
Divisible by 10
7267 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 7267 within several notable number theory sequences:
Timeline
Deep dive
How 7267 breaks down
7267 carries 6 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 785, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001100011 supports bitwise reasoning, hexadecimal 1C63 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7267 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7267 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7262–7272) to tune search ranges, and educators feature 7267 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 7267 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 7267
Is 7267 a prime number?
7267 is composite with 6 total factors and the prime factorization 13^2 × 43.
What is the prime factorization of 7267?
It breaks down as 13^2 × 43, multiplying the primes 13 × 13 × 43.
How is 7267 represented in binary and hexadecimal?
7267 converts to 1110001100011 in binary and 1C63 in hexadecimal, which are helpful for computer science applications.
Is 7267 a perfect square, cube, or triangular number?
7267 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7267?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.