1550
1550 is a even composite number that follows 1549 and precedes 1551. It is composed of 12 distinct factors: 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550. Its prime factorization can be written as 2 × 5^2 × 31. 1550 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1550 is represented as 11000001110 in binary and 60E in hexadecimal. Historically, it is written as MDL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 31) reveals 4 prime building blocks.
Divisible by 2
1550 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
1550 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 11 is not a multiple of 9.
Divisible by 10
1550 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 1550 within several notable number theory sequences:
Timeline
Deep dive
How 1550 breaks down
1550 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1426, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11000001110 supports bitwise reasoning, hexadecimal 60E aligns with computing notation, and the Roman numeral MDL keeps the encyclopedic tradition alive. These attributes make 1550 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1550 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1545–1555) to tune search ranges, and educators feature 1550 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1550 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 1550
Is 1550 a prime number?
1550 is composite with 12 total factors and the prime factorization 2 × 5^2 × 31.
What is the prime factorization of 1550?
It breaks down as 2 × 5^2 × 31, multiplying the primes 2 × 5 × 5 × 31.
How is 1550 represented in binary and hexadecimal?
1550 converts to 11000001110 in binary and 60E in hexadecimal, which are helpful for computer science applications.
Is 1550 a perfect square, cube, or triangular number?
1550 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1550?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.