9001
9001 is a odd prime number that follows 9000 and precedes 9002. As a prime number, 9001 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 9001. 9001 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9001 is represented as 10001100101001 in binary and 2329 in hexadecimal.
Factor Analysis
2 FactorsProperties
9001 is prime, so its only factors are 1 and 9001.
Divisible by 2
9001 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
9001 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 10 is not a multiple of 9.
Divisible by 10
9001 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 9001 within several notable number theory sequences:
Timeline
Deep dive
How 9001 breaks down
9001 carries 2 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100101001 supports bitwise reasoning, hexadecimal 2329 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9001 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9001 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8996–9006) to tune search ranges, and educators feature 9001 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 9001 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 9001
Is 9001 a prime number?
9001 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 9001?
9001 is already prime, so the factorization is simply 9001.
How is 9001 represented in binary and hexadecimal?
9001 converts to 10001100101001 in binary and 2329 in hexadecimal, which are helpful for computer science applications.
Is 9001 a perfect square, cube, or triangular number?
9001 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9001?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.