949
949 is a odd composite number that follows 948 and precedes 950. It is composed of 4 distinct factors: 1, 13, 73, 949. Its prime factorization can be written as 13 × 73. 949 is classified as a deficient number based on the sum of its proper divisors. In computer science, 949 is represented as 1110110101 in binary and 3B5 in hexadecimal. Historically, it is written as CMXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 73) reveals 2 prime building blocks.
Divisible by 2
949 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
949 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 22 is not a multiple of 9.
Divisible by 10
949 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Deficient classification and digit analytics place 949 within several notable number theory sequences:
Timeline
Deep dive
How 949 breaks down
949 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 87, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110110101 supports bitwise reasoning, hexadecimal 3B5 aligns with computing notation, and the Roman numeral CMXLIX keeps the encyclopedic tradition alive. These attributes make 949 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 949 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (944–954) to tune search ranges, and educators feature 949 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 949 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 949
Is 949 a prime number?
949 is composite with 4 total factors and the prime factorization 13 × 73.
What is the prime factorization of 949?
It breaks down as 13 × 73, multiplying the primes 13 × 73.
How is 949 represented in binary and hexadecimal?
949 converts to 1110110101 in binary and 3B5 in hexadecimal, which are helpful for computer science applications.
Is 949 a perfect square, cube, or triangular number?
949 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 949?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.