6986
6986 is a even composite number that follows 6985 and precedes 6987. It is composed of 8 distinct factors: 1, 2, 7, 14, 499, 998, 3493, 6986. Its prime factorization can be written as 2 × 7 × 499. 6986 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6986 is represented as 1101101001010 in binary and 1B4A in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 499) reveals 3 prime building blocks.
Divisible by 2
6986 ends in 6, so it is even.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 86 are not divisible by 4.
Divisible by 5
6986 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 29 is not a multiple of 9.
Divisible by 10
6986 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 6986 within several notable number theory sequences:
Timeline
Deep dive
How 6986 breaks down
6986 carries 8 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 5014, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101001010 supports bitwise reasoning, hexadecimal 1B4A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6986 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6986 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6981–6991) to tune search ranges, and educators feature 6986 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, Deficient numbers) help historians, numerologists, and trivia writers tie 6986 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 6986
Is 6986 a prime number?
6986 is composite with 8 total factors and the prime factorization 2 × 7 × 499.
What is the prime factorization of 6986?
It breaks down as 2 × 7 × 499, multiplying the primes 2 × 7 × 499.
How is 6986 represented in binary and hexadecimal?
6986 converts to 1101101001010 in binary and 1B4A in hexadecimal, which are helpful for computer science applications.
Is 6986 a perfect square, cube, or triangular number?
6986 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6986?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.