5995
5995 is a odd composite number that follows 5994 and precedes 5996. It is composed of 8 distinct factors: 1, 5, 11, 55, 109, 545, 1199, 5995. Its prime factorization can be written as 5 × 11 × 109. 5995 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5995 is represented as 1011101101011 in binary and 176B in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 11 × 109) reveals 3 prime building blocks.
Divisible by 2
5995 ends in 5, so it is odd.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
5995 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 28 is not a multiple of 9.
Divisible by 10
5995 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 5995 within several notable number theory sequences:
Timeline
Deep dive
How 5995 breaks down
5995 carries 8 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1925, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101101011 supports bitwise reasoning, hexadecimal 176B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5995 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5995 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5990–6000) to tune search ranges, and educators feature 5995 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 5995 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 5995
Is 5995 a prime number?
5995 is composite with 8 total factors and the prime factorization 5 × 11 × 109.
What is the prime factorization of 5995?
It breaks down as 5 × 11 × 109, multiplying the primes 5 × 11 × 109.
How is 5995 represented in binary and hexadecimal?
5995 converts to 1011101101011 in binary and 176B in hexadecimal, which are helpful for computer science applications.
Is 5995 a perfect square, cube, or triangular number?
5995 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 5995?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.