6113
6113 is a odd prime number that follows 6112 and precedes 6114. As a prime number, 6113 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 6113. 6113 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6113 is represented as 1011111100001 in binary and 17E1 in hexadecimal.
Factor Analysis
2 FactorsProperties
6113 is prime, so its only factors are 1 and 6113.
Divisible by 2
6113 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
6113 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 11 is not a multiple of 9.
Divisible by 10
6113 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 6113 within several notable number theory sequences:
Timeline
Deep dive
How 6113 breaks down
6113 carries 2 distinct factors and a digit signature of 11 (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 1011111100001 supports bitwise reasoning, hexadecimal 17E1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6113 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6113 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6108–6118) to tune search ranges, and educators feature 6113 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 6113 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 6113
Is 6113 a prime number?
6113 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 6113?
6113 is already prime, so the factorization is simply 6113.
How is 6113 represented in binary and hexadecimal?
6113 converts to 1011111100001 in binary and 17E1 in hexadecimal, which are helpful for computer science applications.
Is 6113 a perfect square, cube, or triangular number?
6113 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6113?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.