8077
8077 is a odd composite number that follows 8076 and precedes 8078. It is composed of 4 distinct factors: 1, 41, 197, 8077. Its prime factorization can be written as 41 × 197. 8077 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8077 is represented as 1111110001101 in binary and 1F8D in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 197) reveals 2 prime building blocks.
Divisible by 2
8077 ends in 7, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 77 are not divisible by 4.
Divisible by 5
8077 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 22 is not a multiple of 9.
Divisible by 10
8077 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 8077 within several notable number theory sequences:
Timeline
Deep dive
How 8077 breaks down
8077 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 239, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110001101 supports bitwise reasoning, hexadecimal 1F8D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8077 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8077 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8072–8082) to tune search ranges, and educators feature 8077 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8077 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 8077
Is 8077 a prime number?
8077 is composite with 4 total factors and the prime factorization 41 × 197.
What is the prime factorization of 8077?
It breaks down as 41 × 197, multiplying the primes 41 × 197.
How is 8077 represented in binary and hexadecimal?
8077 converts to 1111110001101 in binary and 1F8D in hexadecimal, which are helpful for computer science applications.
Is 8077 a perfect square, cube, or triangular number?
8077 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8077?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.