6942
6942 is a even composite number that follows 6941 and precedes 6943. It is composed of 16 distinct factors: 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942. Its prime factorization can be written as 2 × 3 × 13 × 89. 6942 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6942 is represented as 1101100011110 in binary and 1B1E in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 13 × 89) reveals 4 prime building blocks.
Divisible by 2
6942 ends in 2, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
6942 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
6942 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 6942 within several notable number theory sequences:
Timeline
Deep dive
How 6942 breaks down
6942 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 8178, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100011110 supports bitwise reasoning, hexadecimal 1B1E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6942 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6942 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6937–6947) to tune search ranges, and educators feature 6942 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 6942 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 6942
Is 6942 a prime number?
6942 is composite with 16 total factors and the prime factorization 2 × 3 × 13 × 89.
What is the prime factorization of 6942?
It breaks down as 2 × 3 × 13 × 89, multiplying the primes 2 × 3 × 13 × 89.
How is 6942 represented in binary and hexadecimal?
6942 converts to 1101100011110 in binary and 1B1E in hexadecimal, which are helpful for computer science applications.
Is 6942 a perfect square, cube, or triangular number?
6942 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6942?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.