6710
6710 is a even composite number that follows 6709 and precedes 6711. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. Its prime factorization can be written as 2 × 5 × 11 × 61. 6710 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6710 is represented as 1101000110110 in binary and 1A36 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 11 × 61) reveals 4 prime building blocks.
Divisible by 2
6710 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 10 are not divisible by 4.
Divisible by 5
6710 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 14 is not a multiple of 9.
Divisible by 10
6710 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 6710 within several notable number theory sequences:
Timeline
Deep dive
How 6710 breaks down
6710 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 6682, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000110110 supports bitwise reasoning, hexadecimal 1A36 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6710 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6710 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6705–6715) to tune search ranges, and educators feature 6710 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 6710 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 6710
Is 6710 a prime number?
6710 is composite with 16 total factors and the prime factorization 2 × 5 × 11 × 61.
What is the prime factorization of 6710?
It breaks down as 2 × 5 × 11 × 61, multiplying the primes 2 × 5 × 11 × 61.
How is 6710 represented in binary and hexadecimal?
6710 converts to 1101000110110 in binary and 1A36 in hexadecimal, which are helpful for computer science applications.
Is 6710 a perfect square, cube, or triangular number?
6710 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6710?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.