4077
4077 is a odd composite number that follows 4076 and precedes 4078. It is composed of 8 distinct factors: 1, 3, 9, 27, 151, 453, 1359, 4077. Its prime factorization can be written as 3^3 × 151. 4077 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4077 is represented as 111111101101 in binary and FED in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 151) reveals 4 prime building blocks.
Divisible by 2
4077 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 77 are not divisible by 4.
Divisible by 5
4077 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 18 is a multiple of 9.
Divisible by 10
4077 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 4077 within several notable number theory sequences:
Timeline
Deep dive
How 4077 breaks down
4077 carries 8 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2003, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111101101 supports bitwise reasoning, hexadecimal FED aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4077 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4077 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4072–4082) to tune search ranges, and educators feature 4077 in worksheets about factor trees. Its binary footprint of length 12 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 4077 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 4077
Is 4077 a prime number?
4077 is composite with 8 total factors and the prime factorization 3^3 × 151.
What is the prime factorization of 4077?
It breaks down as 3^3 × 151, multiplying the primes 3 × 3 × 3 × 151.
How is 4077 represented in binary and hexadecimal?
4077 converts to 111111101101 in binary and FED in hexadecimal, which are helpful for computer science applications.
Is 4077 a perfect square, cube, or triangular number?
4077 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4077?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.