4997
4997 is a odd composite number that follows 4996 and precedes 4998. It is composed of 4 distinct factors: 1, 19, 263, 4997. Its prime factorization can be written as 19 × 263. 4997 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4997 is represented as 1001110000101 in binary and 1385 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 263) reveals 2 prime building blocks.
Divisible by 2
4997 ends in 7, so it is odd.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
4997 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 29 is not a multiple of 9.
Divisible by 10
4997 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 4997 within several notable number theory sequences:
Timeline
Deep dive
How 4997 breaks down
4997 carries 4 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 283, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110000101 supports bitwise reasoning, hexadecimal 1385 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4997 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4997 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4992–5002) to tune search ranges, and educators feature 4997 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 4997 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 4997
Is 4997 a prime number?
4997 is composite with 4 total factors and the prime factorization 19 × 263.
What is the prime factorization of 4997?
It breaks down as 19 × 263, multiplying the primes 19 × 263.
How is 4997 represented in binary and hexadecimal?
4997 converts to 1001110000101 in binary and 1385 in hexadecimal, which are helpful for computer science applications.
Is 4997 a perfect square, cube, or triangular number?
4997 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4997?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.