601
601 is a odd prime number that follows 600 and precedes 602. As a prime number, 601 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 601. 601 is classified as a deficient number based on the sum of its proper divisors. In computer science, 601 is represented as 1001011001 in binary and 259 in hexadecimal. Historically, it is written as DCI in Roman numerals.
Factor Analysis
2 FactorsProperties
601 is prime, so its only factors are 1 and 601.
Divisible by 2
601 ends in 1, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
601 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 7 is not a multiple of 9.
Divisible by 10
601 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 601 within several notable number theory sequences:
Timeline
Deep dive
How 601 breaks down
601 carries 2 distinct factors and a digit signature of 7 (7 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 1001011001 supports bitwise reasoning, hexadecimal 259 aligns with computing notation, and the Roman numeral DCI keeps the encyclopedic tradition alive. These attributes make 601 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 601 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (596–606) to tune search ranges, and educators feature 601 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 601 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 601
Is 601 a prime number?
601 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 601?
601 is already prime, so the factorization is simply 601.
How is 601 represented in binary and hexadecimal?
601 converts to 1001011001 in binary and 259 in hexadecimal, which are helpful for computer science applications.
Is 601 a perfect square, cube, or triangular number?
601 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 601?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.