55
55 is a odd composite number that follows 54 and precedes 56. It is composed of 4 distinct factors: 1, 5, 11, 55. Its prime factorization can be written as 5 × 11. 55 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55 is represented as 110111 in binary and 37 in hexadecimal. Historically, it is written as LV in Roman numerals. It also belongs to the triangular number, Fibonacci number sequences.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 11) reveals 2 prime building blocks.
Divisible by 2
55 ends in 5, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
55 ends in 5, 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
55 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 55 within several notable number theory sequences:
Timeline
Deep dive
How 55 breaks down
55 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 17, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111 supports bitwise reasoning, hexadecimal 37 aligns with computing notation, and the Roman numeral LV keeps the encyclopedic tradition alive. These attributes make 55 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (50–60) to tune search ranges, and educators feature 55 in worksheets about factor trees. Its binary footprint of length 6 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers, Fibonacci numbers) help historians, numerologists, and trivia writers tie 55 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 55
Is 55 a prime number?
55 is composite with 4 total factors and the prime factorization 5 × 11.
What is the prime factorization of 55?
It breaks down as 5 × 11, multiplying the primes 5 × 11.
How is 55 represented in binary and hexadecimal?
55 converts to 110111 in binary and 37 in hexadecimal, which are helpful for computer science applications.
Is 55 a perfect square, cube, or triangular number?
55 is not a perfect square, is not a perfect cube, and is triangular. It also belongs to the Fibonacci sequence.
What are the digit sum and digital root of 55?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.