4946
4946 is a even composite number that follows 4945 and precedes 4947. It is composed of 4 distinct factors: 1, 2, 2473, 4946. Its prime factorization can be written as 2 × 2473. 4946 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4946 is represented as 1001101010010 in binary and 1352 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 2473) reveals 2 prime building blocks.
Divisible by 2
4946 ends in 6, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
4946 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 23 is not a multiple of 9.
Divisible by 10
4946 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 4946 within several notable number theory sequences:
Timeline
Deep dive
How 4946 breaks down
4946 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2476, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001101010010 supports bitwise reasoning, hexadecimal 1352 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4946 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4946 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4941–4951) to tune search ranges, and educators feature 4946 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 4946 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 4946
Is 4946 a prime number?
4946 is composite with 4 total factors and the prime factorization 2 × 2473.
What is the prime factorization of 4946?
It breaks down as 2 × 2473, multiplying the primes 2 × 2473.
How is 4946 represented in binary and hexadecimal?
4946 converts to 1001101010010 in binary and 1352 in hexadecimal, which are helpful for computer science applications.
Is 4946 a perfect square, cube, or triangular number?
4946 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4946?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.