55211
55211 is a odd composite number that follows 55210 and precedes 55212. It is composed of 8 distinct factors: 1, 13, 31, 137, 403, 1781, 4247, 55211. Its prime factorization can be written as 13 × 31 × 137. 55211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55211 is represented as 1101011110101011 in binary and D7AB in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (13 × 31 × 137) reveals 3 prime building blocks.
Divisible by 2
55211 ends in 1, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
55211 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 14 is not a multiple of 9.
Divisible by 10
55211 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 55211 within several notable number theory sequences:
Timeline
Deep dive
How 55211 breaks down
55211 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 6613, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011110101011 supports bitwise reasoning, hexadecimal D7AB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55206–55216) to tune search ranges, and educators feature 55211 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, Deficient numbers) help historians, numerologists, and trivia writers tie 55211 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 55211
Is 55211 a prime number?
55211 is composite with 8 total factors and the prime factorization 13 × 31 × 137.
What is the prime factorization of 55211?
It breaks down as 13 × 31 × 137, multiplying the primes 13 × 31 × 137.
How is 55211 represented in binary and hexadecimal?
55211 converts to 1101011110101011 in binary and D7AB in hexadecimal, which are helpful for computer science applications.
Is 55211 a perfect square, cube, or triangular number?
55211 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55211?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.