2958
2958 is a even composite number that follows 2957 and precedes 2959. It is composed of 16 distinct factors: 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958. Its prime factorization can be written as 2 × 3 × 17 × 29. 2958 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2958 is represented as 101110001110 in binary and B8E in hexadecimal. Historically, it is written as MMCMLVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 17 × 29) reveals 4 prime building blocks.
Divisible by 2
2958 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 58 are not divisible by 4.
Divisible by 5
2958 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 24 is not a multiple of 9.
Divisible by 10
2958 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Abundant classification and digit analytics place 2958 within several notable number theory sequences:
Timeline
Deep dive
How 2958 breaks down
2958 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 3522, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110001110 supports bitwise reasoning, hexadecimal B8E aligns with computing notation, and the Roman numeral MMCMLVIII keeps the encyclopedic tradition alive. These attributes make 2958 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2958 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2953–2963) to tune search ranges, and educators feature 2958 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2958 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 2958
Is 2958 a prime number?
2958 is composite with 16 total factors and the prime factorization 2 × 3 × 17 × 29.
What is the prime factorization of 2958?
It breaks down as 2 × 3 × 17 × 29, multiplying the primes 2 × 3 × 17 × 29.
How is 2958 represented in binary and hexadecimal?
2958 converts to 101110001110 in binary and B8E in hexadecimal, which are helpful for computer science applications.
Is 2958 a perfect square, cube, or triangular number?
2958 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2958?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.