55988
55988 is a even composite number that follows 55987 and precedes 55989. It is composed of 6 distinct factors: 1, 2, 4, 13997, 27994, 55988. Its prime factorization can be written as 2^2 × 13997. 55988 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55988 is represented as 1101101010110100 in binary and DAB4 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 13997) reveals 3 prime building blocks.
Divisible by 2
55988 ends in 8, so it is even.
Divisible by 3
The digit sum 35 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
55988 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 35 is not a multiple of 9.
Divisible by 10
55988 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 55988 within several notable number theory sequences:
Timeline
Deep dive
How 55988 breaks down
55988 carries 6 distinct factors and a digit signature of 35 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 41998, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101010110100 supports bitwise reasoning, hexadecimal DAB4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55983–55993) to tune search ranges, and educators feature 55988 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 55988 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 55988
Is 55988 a prime number?
55988 is composite with 6 total factors and the prime factorization 2^2 × 13997.
What is the prime factorization of 55988?
It breaks down as 2^2 × 13997, multiplying the primes 2 × 2 × 13997.
How is 55988 represented in binary and hexadecimal?
55988 converts to 1101101010110100 in binary and DAB4 in hexadecimal, which are helpful for computer science applications.
Is 55988 a perfect square, cube, or triangular number?
55988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55988?
The digits sum to 35, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.