8967
8967 is a odd composite number that follows 8966 and precedes 8968. It is composed of 12 distinct factors: 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. Its prime factorization can be written as 3 × 7^2 × 61. 8967 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8967 is represented as 10001100000111 in binary and 2307 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 7^2 × 61) reveals 4 prime building blocks.
Divisible by 2
8967 ends in 7, so it is odd.
Divisible by 3
The digit sum 30 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
8967 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 30 is not a multiple of 9.
Divisible by 10
8967 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 8967 within several notable number theory sequences:
Timeline
Deep dive
How 8967 breaks down
8967 carries 12 distinct factors and a digit signature of 30 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 5169, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100000111 supports bitwise reasoning, hexadecimal 2307 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8967 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8967 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8962–8972) to tune search ranges, and educators feature 8967 in worksheets about factor trees. Its binary footprint of length 14 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 8967 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 8967
Is 8967 a prime number?
8967 is composite with 12 total factors and the prime factorization 3 × 7^2 × 61.
What is the prime factorization of 8967?
It breaks down as 3 × 7^2 × 61, multiplying the primes 3 × 7 × 7 × 61.
How is 8967 represented in binary and hexadecimal?
8967 converts to 10001100000111 in binary and 2307 in hexadecimal, which are helpful for computer science applications.
Is 8967 a perfect square, cube, or triangular number?
8967 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8967?
The digits sum to 30, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.