6488
6488 is a even composite number that follows 6487 and precedes 6489. It is composed of 8 distinct factors: 1, 2, 4, 8, 811, 1622, 3244, 6488. Its prime factorization can be written as 2^3 × 811. 6488 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6488 is represented as 1100101011000 in binary and 1958 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 811) reveals 4 prime building blocks.
Divisible by 2
6488 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
6488 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 26 is not a multiple of 9.
Divisible by 10
6488 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 6488 within several notable number theory sequences:
Timeline
Deep dive
How 6488 breaks down
6488 carries 8 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 5692, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100101011000 supports bitwise reasoning, hexadecimal 1958 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6488 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6488 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6483–6493) to tune search ranges, and educators feature 6488 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 6488 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 6488
Is 6488 a prime number?
6488 is composite with 8 total factors and the prime factorization 2^3 × 811.
What is the prime factorization of 6488?
It breaks down as 2^3 × 811, multiplying the primes 2 × 2 × 2 × 811.
How is 6488 represented in binary and hexadecimal?
6488 converts to 1100101011000 in binary and 1958 in hexadecimal, which are helpful for computer science applications.
Is 6488 a perfect square, cube, or triangular number?
6488 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6488?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.