6440
6440 is a even composite number that follows 6439 and precedes 6441. It is composed of 32 distinct factors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440. Its prime factorization can be written as 2^3 × 5 × 7 × 23. 6440 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6440 is represented as 1100100101000 in binary and 1928 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 5 × 7 × 23) reveals 6 prime building blocks.
Divisible by 2
6440 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
6440 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 14 is not a multiple of 9.
Divisible by 10
6440 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 6440 within several notable number theory sequences:
Timeline
Deep dive
How 6440 breaks down
6440 carries 32 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 10840, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100101000 supports bitwise reasoning, hexadecimal 1928 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6440 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6440 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6435–6445) to tune search ranges, and educators feature 6440 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 6440 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 6440
Is 6440 a prime number?
6440 is composite with 32 total factors and the prime factorization 2^3 × 5 × 7 × 23.
What is the prime factorization of 6440?
It breaks down as 2^3 × 5 × 7 × 23, multiplying the primes 2 × 2 × 2 × 5 × 7 × 23.
How is 6440 represented in binary and hexadecimal?
6440 converts to 1100100101000 in binary and 1928 in hexadecimal, which are helpful for computer science applications.
Is 6440 a perfect square, cube, or triangular number?
6440 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6440?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.