4900
4900 is a even composite number that follows 4899 and precedes 4901. It is composed of 27 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. Its prime factorization can be written as 2^2 × 5^2 × 7^2. 4900 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4900 is represented as 1001100100100 in binary and 1324 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
27 FactorsProperties
The prime factorization (2^2 × 5^2 × 7^2) reveals 6 prime building blocks.
Divisible by 2
4900 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
4900 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 13 is not a multiple of 9.
Divisible by 10
4900 ends in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 4900 within several notable number theory sequences:
Timeline
Deep dive
How 4900 breaks down
4900 carries 27 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 7469, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001100100100 supports bitwise reasoning, hexadecimal 1324 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4900 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4900 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4895–4905) to tune search ranges, and educators feature 4900 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, Perfect squares) help historians, numerologists, and trivia writers tie 4900 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 4900
Is 4900 a prime number?
4900 is composite with 27 total factors and the prime factorization 2^2 × 5^2 × 7^2.
What is the prime factorization of 4900?
It breaks down as 2^2 × 5^2 × 7^2, multiplying the primes 2 × 2 × 5 × 5 × 7 × 7.
How is 4900 represented in binary and hexadecimal?
4900 converts to 1001100100100 in binary and 1324 in hexadecimal, which are helpful for computer science applications.
Is 4900 a perfect square, cube, or triangular number?
4900 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4900?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.