7949
7949 is a odd prime number that follows 7948 and precedes 7950. As a prime number, 7949 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 7949. 7949 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7949 is represented as 1111100001101 in binary and 1F0D in hexadecimal.
Factor Analysis
2 FactorsProperties
7949 is prime, so its only factors are 1 and 7949.
Divisible by 2
7949 ends in 9, so it is odd.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
7949 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 29 is not a multiple of 9.
Divisible by 10
7949 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 7949 within several notable number theory sequences:
Timeline
Deep dive
How 7949 breaks down
7949 carries 2 distinct factors and a digit signature of 29 (2 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 1111100001101 supports bitwise reasoning, hexadecimal 1F0D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7949 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7949 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7944–7954) to tune search ranges, and educators feature 7949 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 7949 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 7949
Is 7949 a prime number?
7949 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 7949?
7949 is already prime, so the factorization is simply 7949.
How is 7949 represented in binary and hexadecimal?
7949 converts to 1111100001101 in binary and 1F0D in hexadecimal, which are helpful for computer science applications.
Is 7949 a perfect square, cube, or triangular number?
7949 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7949?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.