4113
4113 is a odd composite number that follows 4112 and precedes 4114. It is composed of 6 distinct factors: 1, 3, 9, 457, 1371, 4113. Its prime factorization can be written as 3^2 × 457. 4113 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4113 is represented as 1000000010001 in binary and 1011 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 457) reveals 3 prime building blocks.
Divisible by 2
4113 ends in 3, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
4113 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 9 is a multiple of 9.
Divisible by 10
4113 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 4113 within several notable number theory sequences:
Timeline
Deep dive
How 4113 breaks down
4113 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1841, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000000010001 supports bitwise reasoning, hexadecimal 1011 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4113 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4113 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4108–4118) to tune search ranges, and educators feature 4113 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 4113 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 4113
Is 4113 a prime number?
4113 is composite with 6 total factors and the prime factorization 3^2 × 457.
What is the prime factorization of 4113?
It breaks down as 3^2 × 457, multiplying the primes 3 × 3 × 457.
How is 4113 represented in binary and hexadecimal?
4113 converts to 1000000010001 in binary and 1011 in hexadecimal, which are helpful for computer science applications.
Is 4113 a perfect square, cube, or triangular number?
4113 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4113?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.