5967
5967 is a odd composite number that follows 5966 and precedes 5968. It is composed of 16 distinct factors: 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. Its prime factorization can be written as 3^3 × 13 × 17. 5967 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5967 is represented as 1011101001111 in binary and 174F in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3^3 × 13 × 17) reveals 5 prime building blocks.
Divisible by 2
5967 ends in 7, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
5967 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 27 is a multiple of 9.
Divisible by 10
5967 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 5967 within several notable number theory sequences:
Timeline
Deep dive
How 5967 breaks down
5967 carries 16 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4113, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101001111 supports bitwise reasoning, hexadecimal 174F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5967 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5967 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5962–5972) to tune search ranges, and educators feature 5967 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 5967 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 5967
Is 5967 a prime number?
5967 is composite with 16 total factors and the prime factorization 3^3 × 13 × 17.
What is the prime factorization of 5967?
It breaks down as 3^3 × 13 × 17, multiplying the primes 3 × 3 × 3 × 13 × 17.
How is 5967 represented in binary and hexadecimal?
5967 converts to 1011101001111 in binary and 174F in hexadecimal, which are helpful for computer science applications.
Is 5967 a perfect square, cube, or triangular number?
5967 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5967?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.