6580
6580 is a even composite number that follows 6579 and precedes 6581. It is composed of 24 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580. Its prime factorization can be written as 2^2 × 5 × 7 × 47. 6580 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6580 is represented as 1100110110100 in binary and 19B4 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 7 × 47) reveals 5 prime building blocks.
Divisible by 2
6580 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
6580 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 19 is not a multiple of 9.
Divisible by 10
6580 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 6580 within several notable number theory sequences:
Timeline
Deep dive
How 6580 breaks down
6580 carries 24 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 9548, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100110110100 supports bitwise reasoning, hexadecimal 19B4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6580 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6580 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6575–6585) to tune search ranges, and educators feature 6580 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 6580 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 6580
Is 6580 a prime number?
6580 is composite with 24 total factors and the prime factorization 2^2 × 5 × 7 × 47.
What is the prime factorization of 6580?
It breaks down as 2^2 × 5 × 7 × 47, multiplying the primes 2 × 2 × 5 × 7 × 47.
How is 6580 represented in binary and hexadecimal?
6580 converts to 1100110110100 in binary and 19B4 in hexadecimal, which are helpful for computer science applications.
Is 6580 a perfect square, cube, or triangular number?
6580 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6580?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.