6407
6407 is a odd composite number that follows 6406 and precedes 6408. It is composed of 4 distinct factors: 1, 43, 149, 6407. Its prime factorization can be written as 43 × 149. 6407 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6407 is represented as 1100100000111 in binary and 1907 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (43 × 149) reveals 2 prime building blocks.
Divisible by 2
6407 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
6407 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 17 is not a multiple of 9.
Divisible by 10
6407 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 6407 within several notable number theory sequences:
Timeline
Deep dive
How 6407 breaks down
6407 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 193, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100000111 supports bitwise reasoning, hexadecimal 1907 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6407 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6407 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6402–6412) to tune search ranges, and educators feature 6407 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 6407 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 6407
Is 6407 a prime number?
6407 is composite with 4 total factors and the prime factorization 43 × 149.
What is the prime factorization of 6407?
It breaks down as 43 × 149, multiplying the primes 43 × 149.
How is 6407 represented in binary and hexadecimal?
6407 converts to 1100100000111 in binary and 1907 in hexadecimal, which are helpful for computer science applications.
Is 6407 a perfect square, cube, or triangular number?
6407 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6407?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.