701
701 is a odd prime number that follows 700 and precedes 702. As a prime number, 701 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 701. 701 is classified as a deficient number based on the sum of its proper divisors. In computer science, 701 is represented as 1010111101 in binary and 2BD in hexadecimal. Historically, it is written as DCCI in Roman numerals.
Factor Analysis
2 FactorsProperties
701 is prime, so its only factors are 1 and 701.
Divisible by 2
701 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
701 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
701 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 701 within several notable number theory sequences:
Timeline
Deep dive
How 701 breaks down
701 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 1010111101 supports bitwise reasoning, hexadecimal 2BD aligns with computing notation, and the Roman numeral DCCI keeps the encyclopedic tradition alive. These attributes make 701 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 701 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (696–706) to tune search ranges, and educators feature 701 in worksheets about prime identification. Its binary footprint of length 10 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 701 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 701
Is 701 a prime number?
701 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 701?
701 is already prime, so the factorization is simply 701.
How is 701 represented in binary and hexadecimal?
701 converts to 1010111101 in binary and 2BD in hexadecimal, which are helpful for computer science applications.
Is 701 a perfect square, cube, or triangular number?
701 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 701?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.