89
89 is a odd prime number that follows 88 and precedes 90. As a prime number, 89 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 89. 89 is classified as a deficient number based on the sum of its proper divisors. In computer science, 89 is represented as 1011001 in binary and 59 in hexadecimal. Historically, it is written as LXXXIX in Roman numerals. It also belongs to the Fibonacci number sequence.
Factor Analysis
2 FactorsProperties
89 is prime, so its only factors are 1 and 89.
Divisible by 2
89 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
89 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 17 is not a multiple of 9.
Divisible by 10
89 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 89 within several notable number theory sequences:
Timeline
Deep dive
How 89 breaks down
89 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001 supports bitwise reasoning, hexadecimal 59 aligns with computing notation, and the Roman numeral LXXXIX keeps the encyclopedic tradition alive. These attributes make 89 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 89 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (84–94) to tune search ranges, and educators feature 89 in worksheets about prime identification. Its binary footprint of length 7 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers, Fibonacci numbers) help historians, numerologists, and trivia writers tie 89 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 89
Is 89 a prime number?
89 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 89?
89 is already prime, so the factorization is simply 89.
How is 89 represented in binary and hexadecimal?
89 converts to 1011001 in binary and 59 in hexadecimal, which are helpful for computer science applications.
Is 89 a perfect square, cube, or triangular number?
89 is not a perfect square, is not a perfect cube, and is not triangular. It also belongs to the Fibonacci sequence.
What are the digit sum and digital root of 89?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.