5709
5709 is a odd composite number that follows 5708 and precedes 5710. It is composed of 8 distinct factors: 1, 3, 11, 33, 173, 519, 1903, 5709. Its prime factorization can be written as 3 × 11 × 173. 5709 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5709 is represented as 1011001001101 in binary and 164D in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 173) reveals 3 prime building blocks.
Divisible by 2
5709 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 09 are not divisible by 4.
Divisible by 5
5709 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
5709 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 5709 within several notable number theory sequences:
Timeline
Deep dive
How 5709 breaks down
5709 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 2643, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001001101 supports bitwise reasoning, hexadecimal 164D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5709 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5709 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5704–5714) to tune search ranges, and educators feature 5709 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 5709 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 5709
Is 5709 a prime number?
5709 is composite with 8 total factors and the prime factorization 3 × 11 × 173.
What is the prime factorization of 5709?
It breaks down as 3 × 11 × 173, multiplying the primes 3 × 11 × 173.
How is 5709 represented in binary and hexadecimal?
5709 converts to 1011001001101 in binary and 164D in hexadecimal, which are helpful for computer science applications.
Is 5709 a perfect square, cube, or triangular number?
5709 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5709?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.