952
952 is a even composite number that follows 951 and precedes 953. It is composed of 16 distinct factors: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. Its prime factorization can be written as 2^3 × 7 × 17. 952 is classified as a abundant number based on the sum of its proper divisors. In computer science, 952 is represented as 1110111000 in binary and 3B8 in hexadecimal. Historically, it is written as CMLII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 7 × 17) reveals 5 prime building blocks.
Divisible by 2
952 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
952 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
952 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 952 within several notable number theory sequences:
Timeline
Deep dive
How 952 breaks down
952 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 1208, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110111000 supports bitwise reasoning, hexadecimal 3B8 aligns with computing notation, and the Roman numeral CMLII keeps the encyclopedic tradition alive. These attributes make 952 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 952 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (947–957) to tune search ranges, and educators feature 952 in worksheets about factor trees. Its binary footprint of length 10 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 952 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 952
Is 952 a prime number?
952 is composite with 16 total factors and the prime factorization 2^3 × 7 × 17.
What is the prime factorization of 952?
It breaks down as 2^3 × 7 × 17, multiplying the primes 2 × 2 × 2 × 7 × 17.
How is 952 represented in binary and hexadecimal?
952 converts to 1110111000 in binary and 3B8 in hexadecimal, which are helpful for computer science applications.
Is 952 a perfect square, cube, or triangular number?
952 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 952?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.