6640
6640 is a even composite number that follows 6639 and precedes 6641. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. Its prime factorization can be written as 2^4 × 5 × 83. 6640 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6640 is represented as 1100111110000 in binary and 19F0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 83) reveals 6 prime building blocks.
Divisible by 2
6640 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
6640 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 16 is not a multiple of 9.
Divisible by 10
6640 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 6640 within several notable number theory sequences:
Timeline
Deep dive
How 6640 breaks down
6640 carries 20 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 8984, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100111110000 supports bitwise reasoning, hexadecimal 19F0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6640 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6640 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6635–6645) to tune search ranges, and educators feature 6640 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 6640 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 6640
Is 6640 a prime number?
6640 is composite with 20 total factors and the prime factorization 2^4 × 5 × 83.
What is the prime factorization of 6640?
It breaks down as 2^4 × 5 × 83, multiplying the primes 2 × 2 × 2 × 2 × 5 × 83.
How is 6640 represented in binary and hexadecimal?
6640 converts to 1100111110000 in binary and 19F0 in hexadecimal, which are helpful for computer science applications.
Is 6640 a perfect square, cube, or triangular number?
6640 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6640?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.