6401
6401 is a odd composite number that follows 6400 and precedes 6402. It is composed of 4 distinct factors: 1, 37, 173, 6401. Its prime factorization can be written as 37 × 173. 6401 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6401 is represented as 1100100000001 in binary and 1901 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (37 × 173) reveals 2 prime building blocks.
Divisible by 2
6401 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
6401 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 11 is not a multiple of 9.
Divisible by 10
6401 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 6401 within several notable number theory sequences:
Timeline
Deep dive
How 6401 breaks down
6401 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 211, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100000001 supports bitwise reasoning, hexadecimal 1901 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6401 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6401 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6396–6406) to tune search ranges, and educators feature 6401 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 6401 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 6401
Is 6401 a prime number?
6401 is composite with 4 total factors and the prime factorization 37 × 173.
What is the prime factorization of 6401?
It breaks down as 37 × 173, multiplying the primes 37 × 173.
How is 6401 represented in binary and hexadecimal?
6401 converts to 1100100000001 in binary and 1901 in hexadecimal, which are helpful for computer science applications.
Is 6401 a perfect square, cube, or triangular number?
6401 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6401?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.