8050
8050 is a even composite number that follows 8049 and precedes 8051. It is composed of 24 distinct factors: 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050. Its prime factorization can be written as 2 × 5^2 × 7 × 23. 8050 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8050 is represented as 1111101110010 in binary and 1F72 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 5^2 × 7 × 23) reveals 5 prime building blocks.
Divisible by 2
8050 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
8050 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
8050 ends in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Abundant classification and digit analytics place 8050 within several notable number theory sequences:
Timeline
Deep dive
How 8050 breaks down
8050 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 9806, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101110010 supports bitwise reasoning, hexadecimal 1F72 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8050 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8050 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8045–8055) to tune search ranges, and educators feature 8050 in worksheets about factor trees. Its binary footprint of length 13 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 8050 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 8050
Is 8050 a prime number?
8050 is composite with 24 total factors and the prime factorization 2 × 5^2 × 7 × 23.
What is the prime factorization of 8050?
It breaks down as 2 × 5^2 × 7 × 23, multiplying the primes 2 × 5 × 5 × 7 × 23.
How is 8050 represented in binary and hexadecimal?
8050 converts to 1111101110010 in binary and 1F72 in hexadecimal, which are helpful for computer science applications.
Is 8050 a perfect square, cube, or triangular number?
8050 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8050?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.