1258
1258 is a even composite number that follows 1257 and precedes 1259. It is composed of 8 distinct factors: 1, 2, 17, 34, 37, 74, 629, 1258. Its prime factorization can be written as 2 × 17 × 37. 1258 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1258 is represented as 10011101010 in binary and 4EA in hexadecimal. Historically, it is written as MCCLVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 17 × 37) reveals 3 prime building blocks.
Divisible by 2
1258 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 58 are not divisible by 4.
Divisible by 5
1258 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
1258 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 1258 within several notable number theory sequences:
Timeline
Deep dive
How 1258 breaks down
1258 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 794, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011101010 supports bitwise reasoning, hexadecimal 4EA aligns with computing notation, and the Roman numeral MCCLVIII keeps the encyclopedic tradition alive. These attributes make 1258 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1258 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1253–1263) to tune search ranges, and educators feature 1258 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 1258 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 1258
Is 1258 a prime number?
1258 is composite with 8 total factors and the prime factorization 2 × 17 × 37.
What is the prime factorization of 1258?
It breaks down as 2 × 17 × 37, multiplying the primes 2 × 17 × 37.
How is 1258 represented in binary and hexadecimal?
1258 converts to 10011101010 in binary and 4EA in hexadecimal, which are helpful for computer science applications.
Is 1258 a perfect square, cube, or triangular number?
1258 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1258?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.