550
550 is a even composite number that follows 549 and precedes 551. It is composed of 12 distinct factors: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. Its prime factorization can be written as 2 × 5^2 × 11. 550 is classified as a abundant number based on the sum of its proper divisors. In computer science, 550 is represented as 1000100110 in binary and 226 in hexadecimal. Historically, it is written as DL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 11) reveals 4 prime building blocks.
Divisible by 2
550 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
550 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 10 is not a multiple of 9.
Divisible by 10
550 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 550 within several notable number theory sequences:
Timeline
Deep dive
How 550 breaks down
550 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 566, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100110 supports bitwise reasoning, hexadecimal 226 aligns with computing notation, and the Roman numeral DL keeps the encyclopedic tradition alive. These attributes make 550 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 550 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (545–555) to tune search ranges, and educators feature 550 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) help historians, numerologists, and trivia writers tie 550 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 550
Is 550 a prime number?
550 is composite with 12 total factors and the prime factorization 2 × 5^2 × 11.
What is the prime factorization of 550?
It breaks down as 2 × 5^2 × 11, multiplying the primes 2 × 5 × 5 × 11.
How is 550 represented in binary and hexadecimal?
550 converts to 1000100110 in binary and 226 in hexadecimal, which are helpful for computer science applications.
Is 550 a perfect square, cube, or triangular number?
550 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 550?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.