5913
5913 is a odd composite number that follows 5912 and precedes 5914. It is composed of 10 distinct factors: 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. Its prime factorization can be written as 3^4 × 73. 5913 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5913 is represented as 1011100011001 in binary and 1719 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (3^4 × 73) reveals 5 prime building blocks.
Divisible by 2
5913 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
5913 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 18 is a multiple of 9.
Divisible by 10
5913 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 5913 within several notable number theory sequences:
Timeline
Deep dive
How 5913 breaks down
5913 carries 10 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 3041, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100011001 supports bitwise reasoning, hexadecimal 1719 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5913 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5913 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5908–5918) to tune search ranges, and educators feature 5913 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 5913 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 5913
Is 5913 a prime number?
5913 is composite with 10 total factors and the prime factorization 3^4 × 73.
What is the prime factorization of 5913?
It breaks down as 3^4 × 73, multiplying the primes 3 × 3 × 3 × 3 × 73.
How is 5913 represented in binary and hexadecimal?
5913 converts to 1011100011001 in binary and 1719 in hexadecimal, which are helpful for computer science applications.
Is 5913 a perfect square, cube, or triangular number?
5913 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5913?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.