5031
5031 is a odd composite number that follows 5030 and precedes 5032. It is composed of 12 distinct factors: 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031. Its prime factorization can be written as 3^2 × 13 × 43. 5031 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5031 is represented as 1001110100111 in binary and 13A7 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 13 × 43) reveals 4 prime building blocks.
Divisible by 2
5031 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
5031 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
5031 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 5031 within several notable number theory sequences:
Timeline
Deep dive
How 5031 breaks down
5031 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2977, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110100111 supports bitwise reasoning, hexadecimal 13A7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5031 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5031 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5026–5036) to tune search ranges, and educators feature 5031 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 5031 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 5031
Is 5031 a prime number?
5031 is composite with 12 total factors and the prime factorization 3^2 × 13 × 43.
What is the prime factorization of 5031?
It breaks down as 3^2 × 13 × 43, multiplying the primes 3 × 3 × 13 × 43.
How is 5031 represented in binary and hexadecimal?
5031 converts to 1001110100111 in binary and 13A7 in hexadecimal, which are helpful for computer science applications.
Is 5031 a perfect square, cube, or triangular number?
5031 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5031?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.