5989
5989 is a odd composite number that follows 5988 and precedes 5990. It is composed of 4 distinct factors: 1, 53, 113, 5989. Its prime factorization can be written as 53 × 113. 5989 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5989 is represented as 1011101100101 in binary and 1765 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (53 × 113) reveals 2 prime building blocks.
Divisible by 2
5989 ends in 9, so it is odd.
Divisible by 3
The digit sum 31 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
5989 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 31 is not a multiple of 9.
Divisible by 10
5989 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 5989 within several notable number theory sequences:
Timeline
Deep dive
How 5989 breaks down
5989 carries 4 distinct factors and a digit signature of 31 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 167, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101100101 supports bitwise reasoning, hexadecimal 1765 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5989 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5989 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5984–5994) to tune search ranges, and educators feature 5989 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 5989 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 5989
Is 5989 a prime number?
5989 is composite with 4 total factors and the prime factorization 53 × 113.
What is the prime factorization of 5989?
It breaks down as 53 × 113, multiplying the primes 53 × 113.
How is 5989 represented in binary and hexadecimal?
5989 converts to 1011101100101 in binary and 1765 in hexadecimal, which are helpful for computer science applications.
Is 5989 a perfect square, cube, or triangular number?
5989 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5989?
The digits sum to 31, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.