4959
4959 is a odd composite number that follows 4958 and precedes 4960. It is composed of 12 distinct factors: 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959. Its prime factorization can be written as 3^2 × 19 × 29. 4959 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4959 is represented as 1001101011111 in binary and 135F in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 19 × 29) reveals 4 prime building blocks.
Divisible by 2
4959 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
4959 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 27 is a multiple of 9.
Divisible by 10
4959 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 4959 within several notable number theory sequences:
Timeline
Deep dive
How 4959 breaks down
4959 carries 12 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2841, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001101011111 supports bitwise reasoning, hexadecimal 135F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4959 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4959 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4954–4964) to tune search ranges, and educators feature 4959 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 4959 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 4959
Is 4959 a prime number?
4959 is composite with 12 total factors and the prime factorization 3^2 × 19 × 29.
What is the prime factorization of 4959?
It breaks down as 3^2 × 19 × 29, multiplying the primes 3 × 3 × 19 × 29.
How is 4959 represented in binary and hexadecimal?
4959 converts to 1001101011111 in binary and 135F in hexadecimal, which are helpful for computer science applications.
Is 4959 a perfect square, cube, or triangular number?
4959 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4959?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.