4061
4061 is a odd composite number that follows 4060 and precedes 4062. It is composed of 4 distinct factors: 1, 31, 131, 4061. Its prime factorization can be written as 31 × 131. 4061 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4061 is represented as 111111011101 in binary and FDD in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 131) reveals 2 prime building blocks.
Divisible by 2
4061 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 61 are not divisible by 4.
Divisible by 5
4061 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 11 is not a multiple of 9.
Divisible by 10
4061 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 4061 within several notable number theory sequences:
Timeline
Deep dive
How 4061 breaks down
4061 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 163, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111011101 supports bitwise reasoning, hexadecimal FDD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4061 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4061 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4056–4066) to tune search ranges, and educators feature 4061 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 4061 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 4061
Is 4061 a prime number?
4061 is composite with 4 total factors and the prime factorization 31 × 131.
What is the prime factorization of 4061?
It breaks down as 31 × 131, multiplying the primes 31 × 131.
How is 4061 represented in binary and hexadecimal?
4061 converts to 111111011101 in binary and FDD in hexadecimal, which are helpful for computer science applications.
Is 4061 a perfect square, cube, or triangular number?
4061 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4061?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.