5313
5313 is a odd composite number that follows 5312 and precedes 5314. It is composed of 16 distinct factors: 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313. Its prime factorization can be written as 3 × 7 × 11 × 23. 5313 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5313 is represented as 1010011000001 in binary and 14C1 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 7 × 11 × 23) reveals 4 prime building blocks.
Divisible by 2
5313 ends in 3, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
5313 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 12 is not a multiple of 9.
Divisible by 10
5313 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 5313 within several notable number theory sequences:
Timeline
Deep dive
How 5313 breaks down
5313 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 3903, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011000001 supports bitwise reasoning, hexadecimal 14C1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5313 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5313 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5308–5318) to tune search ranges, and educators feature 5313 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 5313 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 5313
Is 5313 a prime number?
5313 is composite with 16 total factors and the prime factorization 3 × 7 × 11 × 23.
What is the prime factorization of 5313?
It breaks down as 3 × 7 × 11 × 23, multiplying the primes 3 × 7 × 11 × 23.
How is 5313 represented in binary and hexadecimal?
5313 converts to 1010011000001 in binary and 14C1 in hexadecimal, which are helpful for computer science applications.
Is 5313 a perfect square, cube, or triangular number?
5313 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5313?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.