1489
1489 is a odd prime number that follows 1488 and precedes 1490. As a prime number, 1489 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1489. 1489 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1489 is represented as 10111010001 in binary and 5D1 in hexadecimal. Historically, it is written as MCDLXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
1489 is prime, so its only factors are 1 and 1489.
Divisible by 2
1489 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
1489 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
1489 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 1489 within several notable number theory sequences:
Timeline
Deep dive
How 1489 breaks down
1489 carries 2 distinct factors and a digit signature of 22 (4 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 10111010001 supports bitwise reasoning, hexadecimal 5D1 aligns with computing notation, and the Roman numeral MCDLXXXIX keeps the encyclopedic tradition alive. These attributes make 1489 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1489 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1484–1494) to tune search ranges, and educators feature 1489 in worksheets about prime identification. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1489 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 1489
Is 1489 a prime number?
1489 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1489?
1489 is already prime, so the factorization is simply 1489.
How is 1489 represented in binary and hexadecimal?
1489 converts to 10111010001 in binary and 5D1 in hexadecimal, which are helpful for computer science applications.
Is 1489 a perfect square, cube, or triangular number?
1489 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1489?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.