1389
1389 is a odd composite number that follows 1388 and precedes 1390. It is composed of 4 distinct factors: 1, 3, 463, 1389. Its prime factorization can be written as 3 × 463. 1389 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1389 is represented as 10101101101 in binary and 56D in hexadecimal. Historically, it is written as MCCCLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 463) reveals 2 prime building blocks.
Divisible by 2
1389 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
1389 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 21 is not a multiple of 9.
Divisible by 10
1389 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 1389 within several notable number theory sequences:
Timeline
Deep dive
How 1389 breaks down
1389 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 467, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101101101 supports bitwise reasoning, hexadecimal 56D aligns with computing notation, and the Roman numeral MCCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 1389 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1389 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1384–1394) to tune search ranges, and educators feature 1389 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1389 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 1389
Is 1389 a prime number?
1389 is composite with 4 total factors and the prime factorization 3 × 463.
What is the prime factorization of 1389?
It breaks down as 3 × 463, multiplying the primes 3 × 463.
How is 1389 represented in binary and hexadecimal?
1389 converts to 10101101101 in binary and 56D in hexadecimal, which are helpful for computer science applications.
Is 1389 a perfect square, cube, or triangular number?
1389 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1389?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.