6900
6900 is a even composite number that follows 6899 and precedes 6901. It is composed of 36 distinct factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. Its prime factorization can be written as 2^2 × 3 × 5^2 × 23. 6900 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6900 is represented as 1101011110100 in binary and 1AF4 in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^2 × 3 × 5^2 × 23) reveals 6 prime building blocks.
Divisible by 2
6900 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
6900 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
6900 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 6900 within several notable number theory sequences:
Timeline
Deep dive
How 6900 breaks down
6900 carries 36 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 13932, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011110100 supports bitwise reasoning, hexadecimal 1AF4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6900 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6900 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6895–6905) to tune search ranges, and educators feature 6900 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 6900 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 6900
Is 6900 a prime number?
6900 is composite with 36 total factors and the prime factorization 2^2 × 3 × 5^2 × 23.
What is the prime factorization of 6900?
It breaks down as 2^2 × 3 × 5^2 × 23, multiplying the primes 2 × 2 × 3 × 5 × 5 × 23.
How is 6900 represented in binary and hexadecimal?
6900 converts to 1101011110100 in binary and 1AF4 in hexadecimal, which are helpful for computer science applications.
Is 6900 a perfect square, cube, or triangular number?
6900 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6900?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.