252
252 is a even composite number that follows 251 and precedes 253. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. Its prime factorization can be written as 2^2 × 3^2 × 7. 252 is classified as a abundant number based on the sum of its proper divisors. In computer science, 252 is represented as 11111100 in binary and FC in hexadecimal. Historically, it is written as CCLII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 7) reveals 5 prime building blocks.
Divisible by 2
252 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
252 does not end in 0 or 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
252 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 252 within several notable number theory sequences:
Timeline
Deep dive
How 252 breaks down
252 carries 18 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 476, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111100 supports bitwise reasoning, hexadecimal FC aligns with computing notation, and the Roman numeral CCLII keeps the encyclopedic tradition alive. These attributes make 252 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 252 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (247–257) to tune search ranges, and educators feature 252 in worksheets about factor trees. Its binary footprint of length 8 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 252 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 252
Is 252 a prime number?
252 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 7.
What is the prime factorization of 252?
It breaks down as 2^2 × 3^2 × 7, multiplying the primes 2 × 2 × 3 × 3 × 7.
How is 252 represented in binary and hexadecimal?
252 converts to 11111100 in binary and FC in hexadecimal, which are helpful for computer science applications.
Is 252 a perfect square, cube, or triangular number?
252 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 252?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.