6464
6464 is a even composite number that follows 6463 and precedes 6465. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464. Its prime factorization can be written as 2^6 × 101. 6464 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6464 is represented as 1100101000000 in binary and 1940 in hexadecimal.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 101) reveals 7 prime building blocks.
Divisible by 2
6464 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
6464 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 20 is not a multiple of 9.
Divisible by 10
6464 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 6464 within several notable number theory sequences:
Timeline
Deep dive
How 6464 breaks down
6464 carries 14 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 6490, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100101000000 supports bitwise reasoning, hexadecimal 1940 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6464 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6464 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6459–6469) to tune search ranges, and educators feature 6464 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 6464 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 6464
Is 6464 a prime number?
6464 is composite with 14 total factors and the prime factorization 2^6 × 101.
What is the prime factorization of 6464?
It breaks down as 2^6 × 101, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 101.
How is 6464 represented in binary and hexadecimal?
6464 converts to 1100101000000 in binary and 1940 in hexadecimal, which are helpful for computer science applications.
Is 6464 a perfect square, cube, or triangular number?
6464 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6464?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.