950
950 is a even composite number that follows 949 and precedes 951. It is composed of 12 distinct factors: 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. Its prime factorization can be written as 2 × 5^2 × 19. 950 is classified as a deficient number based on the sum of its proper divisors. In computer science, 950 is represented as 1110110110 in binary and 3B6 in hexadecimal. Historically, it is written as CML in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 19) reveals 4 prime building blocks.
Divisible by 2
950 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
950 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 14 is not a multiple of 9.
Divisible by 10
950 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 950 within several notable number theory sequences:
Timeline
Deep dive
How 950 breaks down
950 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 910, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110110110 supports bitwise reasoning, hexadecimal 3B6 aligns with computing notation, and the Roman numeral CML keeps the encyclopedic tradition alive. These attributes make 950 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 950 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (945–955) to tune search ranges, and educators feature 950 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, Deficient numbers) help historians, numerologists, and trivia writers tie 950 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 950
Is 950 a prime number?
950 is composite with 12 total factors and the prime factorization 2 × 5^2 × 19.
What is the prime factorization of 950?
It breaks down as 2 × 5^2 × 19, multiplying the primes 2 × 5 × 5 × 19.
How is 950 represented in binary and hexadecimal?
950 converts to 1110110110 in binary and 3B6 in hexadecimal, which are helpful for computer science applications.
Is 950 a perfect square, cube, or triangular number?
950 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 950?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.