6740
6740 is a even composite number that follows 6739 and precedes 6741. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740. Its prime factorization can be written as 2^2 × 5 × 337. 6740 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6740 is represented as 1101001010100 in binary and 1A54 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 337) reveals 4 prime building blocks.
Divisible by 2
6740 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
6740 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 17 is not a multiple of 9.
Divisible by 10
6740 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 6740 within several notable number theory sequences:
Timeline
Deep dive
How 6740 breaks down
6740 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 7456, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101001010100 supports bitwise reasoning, hexadecimal 1A54 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6740 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6740 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6735–6745) to tune search ranges, and educators feature 6740 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, Abundant numbers) help historians, numerologists, and trivia writers tie 6740 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 6740
Is 6740 a prime number?
6740 is composite with 12 total factors and the prime factorization 2^2 × 5 × 337.
What is the prime factorization of 6740?
It breaks down as 2^2 × 5 × 337, multiplying the primes 2 × 2 × 5 × 337.
How is 6740 represented in binary and hexadecimal?
6740 converts to 1101001010100 in binary and 1A54 in hexadecimal, which are helpful for computer science applications.
Is 6740 a perfect square, cube, or triangular number?
6740 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6740?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.