5729
5729 is a odd composite number that follows 5728 and precedes 5730. It is composed of 4 distinct factors: 1, 17, 337, 5729. Its prime factorization can be written as 17 × 337. 5729 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5729 is represented as 1011001100001 in binary and 1661 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 337) reveals 2 prime building blocks.
Divisible by 2
5729 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
5729 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 23 is not a multiple of 9.
Divisible by 10
5729 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 5729 within several notable number theory sequences:
Timeline
Deep dive
How 5729 breaks down
5729 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 355, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001100001 supports bitwise reasoning, hexadecimal 1661 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5729 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5729 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5724–5734) to tune search ranges, and educators feature 5729 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 5729 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 5729
Is 5729 a prime number?
5729 is composite with 4 total factors and the prime factorization 17 × 337.
What is the prime factorization of 5729?
It breaks down as 17 × 337, multiplying the primes 17 × 337.
How is 5729 represented in binary and hexadecimal?
5729 converts to 1011001100001 in binary and 1661 in hexadecimal, which are helpful for computer science applications.
Is 5729 a perfect square, cube, or triangular number?
5729 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5729?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.