650
650 is a even composite number that follows 649 and precedes 651. It is composed of 12 distinct factors: 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. Its prime factorization can be written as 2 × 5^2 × 13. 650 is classified as a abundant number based on the sum of its proper divisors. In computer science, 650 is represented as 1010001010 in binary and 28A in hexadecimal. Historically, it is written as DCL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 13) reveals 4 prime building blocks.
Divisible by 2
650 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
650 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
650 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 650 within several notable number theory sequences:
Timeline
Deep dive
How 650 breaks down
650 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 652, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010001010 supports bitwise reasoning, hexadecimal 28A aligns with computing notation, and the Roman numeral DCL keeps the encyclopedic tradition alive. These attributes make 650 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 650 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (645–655) to tune search ranges, and educators feature 650 in worksheets about factor trees. 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 (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 650 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 650
Is 650 a prime number?
650 is composite with 12 total factors and the prime factorization 2 × 5^2 × 13.
What is the prime factorization of 650?
It breaks down as 2 × 5^2 × 13, multiplying the primes 2 × 5 × 5 × 13.
How is 650 represented in binary and hexadecimal?
650 converts to 1010001010 in binary and 28A in hexadecimal, which are helpful for computer science applications.
Is 650 a perfect square, cube, or triangular number?
650 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 650?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.