900
900 is a even composite number that follows 899 and precedes 901. It is composed of 27 distinct factors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. Its prime factorization can be written as 2^2 × 3^2 × 5^2. 900 is classified as a abundant number based on the sum of its proper divisors. In computer science, 900 is represented as 1110000100 in binary and 384 in hexadecimal. Historically, it is written as CM in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
27 FactorsProperties
The prime factorization (2^2 × 3^2 × 5^2) reveals 6 prime building blocks.
Divisible by 2
900 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
900 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 9 is a multiple of 9.
Divisible by 10
900 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 900 within several notable number theory sequences:
Timeline
Deep dive
How 900 breaks down
900 carries 27 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 1921, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000100 supports bitwise reasoning, hexadecimal 384 aligns with computing notation, and the Roman numeral CM keeps the encyclopedic tradition alive. These attributes make 900 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 900 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (895–905) to tune search ranges, and educators feature 900 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers, Perfect squares) help historians, numerologists, and trivia writers tie 900 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 900
Is 900 a prime number?
900 is composite with 27 total factors and the prime factorization 2^2 × 3^2 × 5^2.
What is the prime factorization of 900?
It breaks down as 2^2 × 3^2 × 5^2, multiplying the primes 2 × 2 × 3 × 3 × 5 × 5.
How is 900 represented in binary and hexadecimal?
900 converts to 1110000100 in binary and 384 in hexadecimal, which are helpful for computer science applications.
Is 900 a perfect square, cube, or triangular number?
900 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 900?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.