3059
3059 is a odd composite number that follows 3058 and precedes 3060. It is composed of 8 distinct factors: 1, 7, 19, 23, 133, 161, 437, 3059. Its prime factorization can be written as 7 × 19 × 23. 3059 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3059 is represented as 101111110011 in binary and BF3 in hexadecimal. Historically, it is written as MMMLIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (7 × 19 × 23) reveals 3 prime building blocks.
Divisible by 2
3059 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
3059 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 17 is not a multiple of 9.
Divisible by 10
3059 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3059 within several notable number theory sequences:
Timeline
Deep dive
How 3059 breaks down
3059 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 781, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111110011 supports bitwise reasoning, hexadecimal BF3 aligns with computing notation, and the Roman numeral MMMLIX keeps the encyclopedic tradition alive. These attributes make 3059 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3059 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3054–3064) to tune search ranges, and educators feature 3059 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3059 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 3059
Is 3059 a prime number?
3059 is composite with 8 total factors and the prime factorization 7 × 19 × 23.
What is the prime factorization of 3059?
It breaks down as 7 × 19 × 23, multiplying the primes 7 × 19 × 23.
How is 3059 represented in binary and hexadecimal?
3059 converts to 101111110011 in binary and BF3 in hexadecimal, which are helpful for computer science applications.
Is 3059 a perfect square, cube, or triangular number?
3059 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3059?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.