55990
55990 is a even composite number that follows 55989 and precedes 55991. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 55, 110, 509, 1018, 2545, 5090, 5599, 11198, 27995, 55990. Its prime factorization can be written as 2 × 5 × 11 × 509. 55990 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55990 is represented as 1101101010110110 in binary and DAB6 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 11 × 509) reveals 4 prime building blocks.
Divisible by 2
55990 ends in 0, so it is even.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
55990 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 28 is not a multiple of 9.
Divisible by 10
55990 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 55990 within several notable number theory sequences:
Timeline
Deep dive
How 55990 breaks down
55990 carries 16 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 54170, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101010110110 supports bitwise reasoning, hexadecimal DAB6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55990 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55990 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55985–55995) to tune search ranges, and educators feature 55990 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 55990 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 55990
Is 55990 a prime number?
55990 is composite with 16 total factors and the prime factorization 2 × 5 × 11 × 509.
What is the prime factorization of 55990?
It breaks down as 2 × 5 × 11 × 509, multiplying the primes 2 × 5 × 11 × 509.
How is 55990 represented in binary and hexadecimal?
55990 converts to 1101101010110110 in binary and DAB6 in hexadecimal, which are helpful for computer science applications.
Is 55990 a perfect square, cube, or triangular number?
55990 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55990?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.