55104
55104 is a even composite number that follows 55103 and precedes 55105. It is composed of 56 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 64, 82, 84, 96, 112, 123, 164, 168, 192, 224, 246, 287, 328, 336, 448, 492, 574, 656, 672, 861, 984, 1148, 1312, 1344, 1722, 1968, 2296, 2624, 3444, 3936, 4592, 6888, 7872, 9184, 13776, 18368, 27552, 55104. Its prime factorization can be written as 2^6 × 3 × 7 × 41. 55104 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55104 is represented as 1101011101000000 in binary and D740 in hexadecimal.
Factor Analysis
56 FactorsProperties
The prime factorization (2^6 × 3 × 7 × 41) reveals 9 prime building blocks.
Divisible by 2
55104 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
55104 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
55104 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 55104 within several notable number theory sequences:
Timeline
Deep dive
How 55104 breaks down
55104 carries 56 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 115584, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011101000000 supports bitwise reasoning, hexadecimal D740 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55104 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55104 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55099–55109) to tune search ranges, and educators feature 55104 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, Abundant numbers) help historians, numerologists, and trivia writers tie 55104 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 55104
Is 55104 a prime number?
55104 is composite with 56 total factors and the prime factorization 2^6 × 3 × 7 × 41.
What is the prime factorization of 55104?
It breaks down as 2^6 × 3 × 7 × 41, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 41.
How is 55104 represented in binary and hexadecimal?
55104 converts to 1101011101000000 in binary and D740 in hexadecimal, which are helpful for computer science applications.
Is 55104 a perfect square, cube, or triangular number?
55104 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55104?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.