55107
55107 is a odd composite number that follows 55106 and precedes 55108. It is composed of 16 distinct factors: 1, 3, 9, 13, 27, 39, 117, 157, 351, 471, 1413, 2041, 4239, 6123, 18369, 55107. Its prime factorization can be written as 3^3 × 13 × 157. 55107 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55107 is represented as 1101011101000011 in binary and D743 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3^3 × 13 × 157) reveals 5 prime building blocks.
Divisible by 2
55107 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
55107 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 18 is a multiple of 9.
Divisible by 10
55107 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 55107 within several notable number theory sequences:
Timeline
Deep dive
How 55107 breaks down
55107 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 33373, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011101000011 supports bitwise reasoning, hexadecimal D743 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55107 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55107 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55102–55112) to tune search ranges, and educators feature 55107 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 55107 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 55107
Is 55107 a prime number?
55107 is composite with 16 total factors and the prime factorization 3^3 × 13 × 157.
What is the prime factorization of 55107?
It breaks down as 3^3 × 13 × 157, multiplying the primes 3 × 3 × 3 × 13 × 157.
How is 55107 represented in binary and hexadecimal?
55107 converts to 1101011101000011 in binary and D743 in hexadecimal, which are helpful for computer science applications.
Is 55107 a perfect square, cube, or triangular number?
55107 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55107?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.