4995
4995 is a odd composite number that follows 4994 and precedes 4996. It is composed of 16 distinct factors: 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995. Its prime factorization can be written as 3^3 × 5 × 37. 4995 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4995 is represented as 1001110000011 in binary and 1383 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3^3 × 5 × 37) reveals 5 prime building blocks.
Divisible by 2
4995 ends in 5, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
4995 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
4995 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 4995 within several notable number theory sequences:
Timeline
Deep dive
How 4995 breaks down
4995 carries 16 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4125, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110000011 supports bitwise reasoning, hexadecimal 1383 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4995 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4995 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4990–5000) to tune search ranges, and educators feature 4995 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 4995 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 4995
Is 4995 a prime number?
4995 is composite with 16 total factors and the prime factorization 3^3 × 5 × 37.
What is the prime factorization of 4995?
It breaks down as 3^3 × 5 × 37, multiplying the primes 3 × 3 × 3 × 5 × 37.
How is 4995 represented in binary and hexadecimal?
4995 converts to 1001110000011 in binary and 1383 in hexadecimal, which are helpful for computer science applications.
Is 4995 a perfect square, cube, or triangular number?
4995 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4995?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.