607
607 is a odd prime number that follows 606 and precedes 608. As a prime number, 607 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 607. 607 is classified as a deficient number based on the sum of its proper divisors. In computer science, 607 is represented as 1001011111 in binary and 25F in hexadecimal. Historically, it is written as DCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
607 is prime, so its only factors are 1 and 607.
Divisible by 2
607 ends in 7, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
607 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 13 is not a multiple of 9.
Divisible by 10
607 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 607 within several notable number theory sequences:
Timeline
Deep dive
How 607 breaks down
607 carries 2 distinct factors and a digit signature of 13 (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 1001011111 supports bitwise reasoning, hexadecimal 25F aligns with computing notation, and the Roman numeral DCVII keeps the encyclopedic tradition alive. These attributes make 607 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 607 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (602–612) to tune search ranges, and educators feature 607 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 607 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 607
Is 607 a prime number?
607 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 607?
607 is already prime, so the factorization is simply 607.
How is 607 represented in binary and hexadecimal?
607 converts to 1001011111 in binary and 25F in hexadecimal, which are helpful for computer science applications.
Is 607 a perfect square, cube, or triangular number?
607 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 607?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.