3001
3001 is a odd prime number that follows 3000 and precedes 3002. As a prime number, 3001 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3001. 3001 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3001 is represented as 101110111001 in binary and BB9 in hexadecimal. Historically, it is written as MMMI in Roman numerals.
Factor Analysis
2 FactorsProperties
3001 is prime, so its only factors are 1 and 3001.
Divisible by 2
3001 ends in 1, so it is odd.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
3001 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 4 is not a multiple of 9.
Divisible by 10
3001 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3001 within several notable number theory sequences:
Timeline
Deep dive
How 3001 breaks down
3001 carries 2 distinct factors and a digit signature of 4 (4 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 101110111001 supports bitwise reasoning, hexadecimal BB9 aligns with computing notation, and the Roman numeral MMMI keeps the encyclopedic tradition alive. These attributes make 3001 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3001 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2996–3006) to tune search ranges, and educators feature 3001 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3001 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 3001
Is 3001 a prime number?
3001 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3001?
3001 is already prime, so the factorization is simply 3001.
How is 3001 represented in binary and hexadecimal?
3001 converts to 101110111001 in binary and BB9 in hexadecimal, which are helpful for computer science applications.
Is 3001 a perfect square, cube, or triangular number?
3001 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3001?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.