6739
6739 is a odd composite number that follows 6738 and precedes 6740. It is composed of 4 distinct factors: 1, 23, 293, 6739. Its prime factorization can be written as 23 × 293. 6739 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6739 is represented as 1101001010011 in binary and 1A53 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 293) reveals 2 prime building blocks.
Divisible by 2
6739 ends in 9, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
6739 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 25 is not a multiple of 9.
Divisible by 10
6739 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 6739 within several notable number theory sequences:
Timeline
Deep dive
How 6739 breaks down
6739 carries 4 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 317, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001010011 supports bitwise reasoning, hexadecimal 1A53 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6739 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6739 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6734–6744) to tune search ranges, and educators feature 6739 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 6739 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 6739
Is 6739 a prime number?
6739 is composite with 4 total factors and the prime factorization 23 × 293.
What is the prime factorization of 6739?
It breaks down as 23 × 293, multiplying the primes 23 × 293.
How is 6739 represented in binary and hexadecimal?
6739 converts to 1101001010011 in binary and 1A53 in hexadecimal, which are helpful for computer science applications.
Is 6739 a perfect square, cube, or triangular number?
6739 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6739?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.