55200
55200 is a even composite number that follows 55199 and precedes 55201. It is composed of 72 distinct factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30, 32, 40, 46, 48, 50, 60, 69, 75, 80, 92, 96, 100, 115, 120, 138, 150, 160, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 480, 552, 575, 600, 690, 736, 800, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2208, 2300, 2400, 2760, 3450, 3680, 4600, 5520, 6900, 9200, 11040, 13800, 18400, 27600, 55200. Its prime factorization can be written as 2^5 × 3 × 5^2 × 23. 55200 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55200 is represented as 1101011110100000 in binary and D7A0 in hexadecimal.
Factor Analysis
72 FactorsProperties
The prime factorization (2^5 × 3 × 5^2 × 23) reveals 9 prime building blocks.
Divisible by 2
55200 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
55200 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 12 is not a multiple of 9.
Divisible by 10
55200 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 55200 within several notable number theory sequences:
Timeline
Deep dive
How 55200 breaks down
55200 carries 72 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 132288, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011110100000 supports bitwise reasoning, hexadecimal D7A0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55200 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55200 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55195–55205) to tune search ranges, and educators feature 55200 in worksheets about factor trees. Its binary footprint of length 16 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 55200 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 55200
Is 55200 a prime number?
55200 is composite with 72 total factors and the prime factorization 2^5 × 3 × 5^2 × 23.
What is the prime factorization of 55200?
It breaks down as 2^5 × 3 × 5^2 × 23, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23.
How is 55200 represented in binary and hexadecimal?
55200 converts to 1101011110100000 in binary and D7A0 in hexadecimal, which are helpful for computer science applications.
Is 55200 a perfect square, cube, or triangular number?
55200 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55200?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.