1439
1439 is a odd prime number that follows 1438 and precedes 1440. As a prime number, 1439 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1439. 1439 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1439 is represented as 10110011111 in binary and 59F in hexadecimal. Historically, it is written as MCDXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
1439 is prime, so its only factors are 1 and 1439.
Divisible by 2
1439 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 39 are not divisible by 4.
Divisible by 5
1439 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
1439 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 1439 within several notable number theory sequences:
Timeline
Deep dive
How 1439 breaks down
1439 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 10110011111 supports bitwise reasoning, hexadecimal 59F aligns with computing notation, and the Roman numeral MCDXXXIX keeps the encyclopedic tradition alive. These attributes make 1439 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1439 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1434–1444) to tune search ranges, and educators feature 1439 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 1439 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 1439
Is 1439 a prime number?
1439 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1439?
1439 is already prime, so the factorization is simply 1439.
How is 1439 represented in binary and hexadecimal?
1439 converts to 10110011111 in binary and 59F in hexadecimal, which are helpful for computer science applications.
Is 1439 a perfect square, cube, or triangular number?
1439 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1439?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.