6980
6980 is a even composite number that follows 6979 and precedes 6981. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. Its prime factorization can be written as 2^2 × 5 × 349. 6980 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6980 is represented as 1101101000100 in binary and 1B44 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 349) reveals 4 prime building blocks.
Divisible by 2
6980 ends in 0, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
6980 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 23 is not a multiple of 9.
Divisible by 10
6980 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 6980 within several notable number theory sequences:
Timeline
Deep dive
How 6980 breaks down
6980 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 7720, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101000100 supports bitwise reasoning, hexadecimal 1B44 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6980 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6980 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6975–6985) to tune search ranges, and educators feature 6980 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 6980 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 6980
Is 6980 a prime number?
6980 is composite with 12 total factors and the prime factorization 2^2 × 5 × 349.
What is the prime factorization of 6980?
It breaks down as 2^2 × 5 × 349, multiplying the primes 2 × 2 × 5 × 349.
How is 6980 represented in binary and hexadecimal?
6980 converts to 1101101000100 in binary and 1B44 in hexadecimal, which are helpful for computer science applications.
Is 6980 a perfect square, cube, or triangular number?
6980 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6980?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.