1252
1252 is a even composite number that follows 1251 and precedes 1253. It is composed of 6 distinct factors: 1, 2, 4, 313, 626, 1252. Its prime factorization can be written as 2^2 × 313. 1252 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1252 is represented as 10011100100 in binary and 4E4 in hexadecimal. Historically, it is written as MCCLII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 313) reveals 3 prime building blocks.
Divisible by 2
1252 ends in 2, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
1252 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 10 is not a multiple of 9.
Divisible by 10
1252 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 1252 within several notable number theory sequences:
Timeline
Deep dive
How 1252 breaks down
1252 carries 6 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 946, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011100100 supports bitwise reasoning, hexadecimal 4E4 aligns with computing notation, and the Roman numeral MCCLII keeps the encyclopedic tradition alive. These attributes make 1252 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1252 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1247–1257) to tune search ranges, and educators feature 1252 in worksheets about factor trees. Its binary footprint of length 11 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 1252 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 1252
Is 1252 a prime number?
1252 is composite with 6 total factors and the prime factorization 2^2 × 313.
What is the prime factorization of 1252?
It breaks down as 2^2 × 313, multiplying the primes 2 × 2 × 313.
How is 1252 represented in binary and hexadecimal?
1252 converts to 10011100100 in binary and 4E4 in hexadecimal, which are helpful for computer science applications.
Is 1252 a perfect square, cube, or triangular number?
1252 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1252?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.