6940
6940 is a even composite number that follows 6939 and precedes 6941. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940. Its prime factorization can be written as 2^2 × 5 × 347. 6940 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6940 is represented as 1101100011100 in binary and 1B1C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 347) reveals 4 prime building blocks.
Divisible by 2
6940 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
6940 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 19 is not a multiple of 9.
Divisible by 10
6940 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 6940 within several notable number theory sequences:
Timeline
Deep dive
How 6940 breaks down
6940 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 7676, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100011100 supports bitwise reasoning, hexadecimal 1B1C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6940 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6940 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6935–6945) to tune search ranges, and educators feature 6940 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 6940 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 6940
Is 6940 a prime number?
6940 is composite with 12 total factors and the prime factorization 2^2 × 5 × 347.
What is the prime factorization of 6940?
It breaks down as 2^2 × 5 × 347, multiplying the primes 2 × 2 × 5 × 347.
How is 6940 represented in binary and hexadecimal?
6940 converts to 1101100011100 in binary and 1B1C in hexadecimal, which are helpful for computer science applications.
Is 6940 a perfect square, cube, or triangular number?
6940 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6940?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.