5949
5949 is a odd composite number that follows 5948 and precedes 5950. It is composed of 6 distinct factors: 1, 3, 9, 661, 1983, 5949. Its prime factorization can be written as 3^2 × 661. 5949 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5949 is represented as 1011100111101 in binary and 173D in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 661) reveals 3 prime building blocks.
Divisible by 2
5949 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
5949 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 27 is a multiple of 9.
Divisible by 10
5949 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 5949 within several notable number theory sequences:
Timeline
Deep dive
How 5949 breaks down
5949 carries 6 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2657, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100111101 supports bitwise reasoning, hexadecimal 173D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5949 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5949 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5944–5954) to tune search ranges, and educators feature 5949 in worksheets about factor trees. Its binary footprint of length 13 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 5949 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 5949
Is 5949 a prime number?
5949 is composite with 6 total factors and the prime factorization 3^2 × 661.
What is the prime factorization of 5949?
It breaks down as 3^2 × 661, multiplying the primes 3 × 3 × 661.
How is 5949 represented in binary and hexadecimal?
5949 converts to 1011100111101 in binary and 173D in hexadecimal, which are helpful for computer science applications.
Is 5949 a perfect square, cube, or triangular number?
5949 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5949?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.