9061
9061 is a odd composite number that follows 9060 and precedes 9062. It is composed of 8 distinct factors: 1, 13, 17, 41, 221, 533, 697, 9061. Its prime factorization can be written as 13 × 17 × 41. 9061 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9061 is represented as 10001101100101 in binary and 2365 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (13 × 17 × 41) reveals 3 prime building blocks.
Divisible by 2
9061 ends in 1, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 61 are not divisible by 4.
Divisible by 5
9061 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 16 is not a multiple of 9.
Divisible by 10
9061 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Deficient classification and digit analytics place 9061 within several notable number theory sequences:
Timeline
Deep dive
How 9061 breaks down
9061 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1523, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001101100101 supports bitwise reasoning, hexadecimal 2365 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9061 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9061 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9056–9066) to tune search ranges, and educators feature 9061 in worksheets about factor trees. Its binary footprint of length 14 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 9061 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 9061
Is 9061 a prime number?
9061 is composite with 8 total factors and the prime factorization 13 × 17 × 41.
What is the prime factorization of 9061?
It breaks down as 13 × 17 × 41, multiplying the primes 13 × 17 × 41.
How is 9061 represented in binary and hexadecimal?
9061 converts to 10001101100101 in binary and 2365 in hexadecimal, which are helpful for computer science applications.
Is 9061 a perfect square, cube, or triangular number?
9061 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9061?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.