5050
5050 is a even composite number that follows 5049 and precedes 5051. It is composed of 12 distinct factors: 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050. Its prime factorization can be written as 2 × 5^2 × 101. 5050 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5050 is represented as 1001110111010 in binary and 13BA in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 101) reveals 4 prime building blocks.
Divisible by 2
5050 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
5050 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 10 is not a multiple of 9.
Divisible by 10
5050 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 5050 within several notable number theory sequences:
Timeline
Deep dive
How 5050 breaks down
5050 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 4436, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110111010 supports bitwise reasoning, hexadecimal 13BA aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5050 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5050 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5045–5055) to tune search ranges, and educators feature 5050 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, Triangular numbers) help historians, numerologists, and trivia writers tie 5050 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 5050
Is 5050 a prime number?
5050 is composite with 12 total factors and the prime factorization 2 × 5^2 × 101.
What is the prime factorization of 5050?
It breaks down as 2 × 5^2 × 101, multiplying the primes 2 × 5 × 5 × 101.
How is 5050 represented in binary and hexadecimal?
5050 converts to 1001110111010 in binary and 13BA in hexadecimal, which are helpful for computer science applications.
Is 5050 a perfect square, cube, or triangular number?
5050 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 5050?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.