5950
5950 is a even composite number that follows 5949 and precedes 5951. It is composed of 24 distinct factors: 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950. Its prime factorization can be written as 2 × 5^2 × 7 × 17. 5950 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5950 is represented as 1011100111110 in binary and 173E in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 5^2 × 7 × 17) reveals 5 prime building blocks.
Divisible by 2
5950 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
5950 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 19 is not a multiple of 9.
Divisible by 10
5950 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 5950 within several notable number theory sequences:
Timeline
Deep dive
How 5950 breaks down
5950 carries 24 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 7442, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100111110 supports bitwise reasoning, hexadecimal 173E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5950 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5950 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5945–5955) to tune search ranges, and educators feature 5950 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 5950 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 5950
Is 5950 a prime number?
5950 is composite with 24 total factors and the prime factorization 2 × 5^2 × 7 × 17.
What is the prime factorization of 5950?
It breaks down as 2 × 5^2 × 7 × 17, multiplying the primes 2 × 5 × 5 × 7 × 17.
How is 5950 represented in binary and hexadecimal?
5950 converts to 1011100111110 in binary and 173E in hexadecimal, which are helpful for computer science applications.
Is 5950 a perfect square, cube, or triangular number?
5950 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5950?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.