3950
3950 is a even composite number that follows 3949 and precedes 3951. It is composed of 12 distinct factors: 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950. Its prime factorization can be written as 2 × 5^2 × 79. 3950 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3950 is represented as 111101101110 in binary and F6E in hexadecimal. Historically, it is written as MMMCML in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 79) reveals 4 prime building blocks.
Divisible by 2
3950 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 50 are not divisible by 4.
Divisible by 5
3950 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
3950 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3950 within several notable number theory sequences:
Timeline
Deep dive
How 3950 breaks down
3950 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3490, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101101110 supports bitwise reasoning, hexadecimal F6E aligns with computing notation, and the Roman numeral MMMCML keeps the encyclopedic tradition alive. These attributes make 3950 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3950 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3945–3955) to tune search ranges, and educators feature 3950 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3950 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 3950
Is 3950 a prime number?
3950 is composite with 12 total factors and the prime factorization 2 × 5^2 × 79.
What is the prime factorization of 3950?
It breaks down as 2 × 5^2 × 79, multiplying the primes 2 × 5 × 5 × 79.
How is 3950 represented in binary and hexadecimal?
3950 converts to 111101101110 in binary and F6E in hexadecimal, which are helpful for computer science applications.
Is 3950 a perfect square, cube, or triangular number?
3950 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3950?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.