6948
6948 is a even composite number that follows 6947 and precedes 6949. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948. Its prime factorization can be written as 2^2 × 3^2 × 193. 6948 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6948 is represented as 1101100100100 in binary and 1B24 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 193) reveals 5 prime building blocks.
Divisible by 2
6948 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
6948 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 27 is a multiple of 9.
Divisible by 10
6948 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 6948 within several notable number theory sequences:
Timeline
Deep dive
How 6948 breaks down
6948 carries 18 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 10706, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100100100 supports bitwise reasoning, hexadecimal 1B24 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6948 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6948 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6943–6953) to tune search ranges, and educators feature 6948 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 6948 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 6948
Is 6948 a prime number?
6948 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 193.
What is the prime factorization of 6948?
It breaks down as 2^2 × 3^2 × 193, multiplying the primes 2 × 2 × 3 × 3 × 193.
How is 6948 represented in binary and hexadecimal?
6948 converts to 1101100100100 in binary and 1B24 in hexadecimal, which are helpful for computer science applications.
Is 6948 a perfect square, cube, or triangular number?
6948 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6948?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.