4968
4968 is a even composite number that follows 4967 and precedes 4969. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. Its prime factorization can be written as 2^3 × 3^3 × 23. 4968 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4968 is represented as 1001101101000 in binary and 1368 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3^3 × 23) reveals 7 prime building blocks.
Divisible by 2
4968 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
4968 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
4968 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 4968 within several notable number theory sequences:
Timeline
Deep dive
How 4968 breaks down
4968 carries 32 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 9432, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001101101000 supports bitwise reasoning, hexadecimal 1368 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4968 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4968 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4963–4973) to tune search ranges, and educators feature 4968 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4968 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 4968
Is 4968 a prime number?
4968 is composite with 32 total factors and the prime factorization 2^3 × 3^3 × 23.
What is the prime factorization of 4968?
It breaks down as 2^3 × 3^3 × 23, multiplying the primes 2 × 2 × 2 × 3 × 3 × 3 × 23.
How is 4968 represented in binary and hexadecimal?
4968 converts to 1001101101000 in binary and 1368 in hexadecimal, which are helpful for computer science applications.
Is 4968 a perfect square, cube, or triangular number?
4968 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4968?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.