7001
7001 is a odd prime number that follows 7000 and precedes 7002. As a prime number, 7001 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 7001. 7001 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7001 is represented as 1101101011001 in binary and 1B59 in hexadecimal.
Factor Analysis
2 FactorsProperties
7001 is prime, so its only factors are 1 and 7001.
Divisible by 2
7001 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
7001 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 8 is not a multiple of 9.
Divisible by 10
7001 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 7001 within several notable number theory sequences:
Timeline
Deep dive
How 7001 breaks down
7001 carries 2 distinct factors and a digit signature of 8 (8 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 1101101011001 supports bitwise reasoning, hexadecimal 1B59 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7001 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7001 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6996–7006) to tune search ranges, and educators feature 7001 in worksheets about prime identification. Its binary footprint of length 13 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 7001 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 7001
Is 7001 a prime number?
7001 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 7001?
7001 is already prime, so the factorization is simply 7001.
How is 7001 represented in binary and hexadecimal?
7001 converts to 1101101011001 in binary and 1B59 in hexadecimal, which are helpful for computer science applications.
Is 7001 a perfect square, cube, or triangular number?
7001 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7001?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.