4940
4940 is a even composite number that follows 4939 and precedes 4941. It is composed of 24 distinct factors: 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. Its prime factorization can be written as 2^2 × 5 × 13 × 19. 4940 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4940 is represented as 1001101001100 in binary and 134C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 13 × 19) reveals 5 prime building blocks.
Divisible by 2
4940 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
4940 ends in 0, 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 17 is not a multiple of 9.
Divisible by 10
4940 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 4940 within several notable number theory sequences:
Timeline
Deep dive
How 4940 breaks down
4940 carries 24 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 6820, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001101001100 supports bitwise reasoning, hexadecimal 134C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4940 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4940 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4935–4945) to tune search ranges, and educators feature 4940 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 4940 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 4940
Is 4940 a prime number?
4940 is composite with 24 total factors and the prime factorization 2^2 × 5 × 13 × 19.
What is the prime factorization of 4940?
It breaks down as 2^2 × 5 × 13 × 19, multiplying the primes 2 × 2 × 5 × 13 × 19.
How is 4940 represented in binary and hexadecimal?
4940 converts to 1001101001100 in binary and 134C in hexadecimal, which are helpful for computer science applications.
Is 4940 a perfect square, cube, or triangular number?
4940 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4940?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.