17050
17050 is a even composite number that follows 17049 and precedes 17051. It is composed of 24 distinct factors: 1, 2, 5, 10, 11, 22, 25, 31, 50, 55, 62, 110, 155, 275, 310, 341, 550, 682, 775, 1550, 1705, 3410, 8525, 17050. Its prime factorization can be written as 2 × 5^2 × 11 × 31. 17050 is classified as a abundant number based on the sum of its proper divisors. In computer science, 17050 is represented as 100001010011010 in binary and 429A in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 5^2 × 11 × 31) reveals 5 prime building blocks.
Divisible by 2
17050 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
17050 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 13 is not a multiple of 9.
Divisible by 10
17050 ends in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 17050 within several notable number theory sequences:
Timeline
Deep dive
How 17050 breaks down
17050 carries 24 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 18662, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001010011010 supports bitwise reasoning, hexadecimal 429A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 17050 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 17050 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (17045–17055) to tune search ranges, and educators feature 17050 in worksheets about factor trees. Its binary footprint of length 15 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 17050 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 17050
Is 17050 a prime number?
17050 is composite with 24 total factors and the prime factorization 2 × 5^2 × 11 × 31.
What is the prime factorization of 17050?
It breaks down as 2 × 5^2 × 11 × 31, multiplying the primes 2 × 5 × 5 × 11 × 31.
How is 17050 represented in binary and hexadecimal?
17050 converts to 100001010011010 in binary and 429A in hexadecimal, which are helpful for computer science applications.
Is 17050 a perfect square, cube, or triangular number?
17050 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 17050?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.