55825
55825 is a odd composite number that follows 55824 and precedes 55826. It is composed of 24 distinct factors: 1, 5, 7, 11, 25, 29, 35, 55, 77, 145, 175, 203, 275, 319, 385, 725, 1015, 1595, 1925, 2233, 5075, 7975, 11165, 55825. Its prime factorization can be written as 5^2 × 7 × 11 × 29. 55825 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55825 is represented as 1101101000010001 in binary and DA11 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (5^2 × 7 × 11 × 29) reveals 5 prime building blocks.
Divisible by 2
55825 ends in 5, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
55825 ends in 5, 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 25 is not a multiple of 9.
Divisible by 10
55825 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 55825 within several notable number theory sequences:
Timeline
Deep dive
How 55825 breaks down
55825 carries 24 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 33455, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101000010001 supports bitwise reasoning, hexadecimal DA11 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55825 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55825 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55820–55830) to tune search ranges, and educators feature 55825 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 55825 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 55825
Is 55825 a prime number?
55825 is composite with 24 total factors and the prime factorization 5^2 × 7 × 11 × 29.
What is the prime factorization of 55825?
It breaks down as 5^2 × 7 × 11 × 29, multiplying the primes 5 × 5 × 7 × 11 × 29.
How is 55825 represented in binary and hexadecimal?
55825 converts to 1101101000010001 in binary and DA11 in hexadecimal, which are helpful for computer science applications.
Is 55825 a perfect square, cube, or triangular number?
55825 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55825?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.