4050
4050 is a even composite number that follows 4049 and precedes 4051. It is composed of 30 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050. Its prime factorization can be written as 2 × 3^4 × 5^2. 4050 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4050 is represented as 111111010010 in binary and FD2 in hexadecimal.
Factor Analysis
30 FactorsProperties
The prime factorization (2 × 3^4 × 5^2) reveals 7 prime building blocks.
Divisible by 2
4050 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
4050 ends in 0, so it is divisible by 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 9 is a multiple of 9.
Divisible by 10
4050 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 4050 within several notable number theory sequences:
Timeline
Deep dive
How 4050 breaks down
4050 carries 30 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 7203, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111010010 supports bitwise reasoning, hexadecimal FD2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4050 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4050 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4045–4055) to tune search ranges, and educators feature 4050 in worksheets about factor trees. Its binary footprint of length 12 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 4050 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 4050
Is 4050 a prime number?
4050 is composite with 30 total factors and the prime factorization 2 × 3^4 × 5^2.
What is the prime factorization of 4050?
It breaks down as 2 × 3^4 × 5^2, multiplying the primes 2 × 3 × 3 × 3 × 3 × 5 × 5.
How is 4050 represented in binary and hexadecimal?
4050 converts to 111111010010 in binary and FD2 in hexadecimal, which are helpful for computer science applications.
Is 4050 a perfect square, cube, or triangular number?
4050 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4050?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.