55201
55201 is a odd prime number that follows 55200 and precedes 55202. As a prime number, 55201 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 55201. 55201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55201 is represented as 1101011110100001 in binary and D7A1 in hexadecimal.
Factor Analysis
2 FactorsProperties
55201 is prime, so its only factors are 1 and 55201.
Divisible by 2
55201 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
55201 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
55201 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 55201 within several notable number theory sequences:
Timeline
Deep dive
How 55201 breaks down
55201 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011110100001 supports bitwise reasoning, hexadecimal D7A1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55196–55206) to tune search ranges, and educators feature 55201 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 55201 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 55201
Is 55201 a prime number?
55201 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 55201?
55201 is already prime, so the factorization is simply 55201.
How is 55201 represented in binary and hexadecimal?
55201 converts to 1101011110100001 in binary and D7A1 in hexadecimal, which are helpful for computer science applications.
Is 55201 a perfect square, cube, or triangular number?
55201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55201?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.