149
149 is a odd prime number that follows 148 and precedes 150. As a prime number, 149 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 149. 149 is classified as a deficient number based on the sum of its proper divisors. In computer science, 149 is represented as 10010101 in binary and 95 in hexadecimal. Historically, it is written as CXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
149 is prime, so its only factors are 1 and 149.
Divisible by 2
149 ends in 9, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
149 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 14 is not a multiple of 9.
Divisible by 10
149 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 149 within several notable number theory sequences:
Timeline
Deep dive
How 149 breaks down
149 carries 2 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010101 supports bitwise reasoning, hexadecimal 95 aligns with computing notation, and the Roman numeral CXLIX keeps the encyclopedic tradition alive. These attributes make 149 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 149 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (144–154) to tune search ranges, and educators feature 149 in worksheets about prime identification. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 149 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 149
Is 149 a prime number?
149 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 149?
149 is already prime, so the factorization is simply 149.
How is 149 represented in binary and hexadecimal?
149 converts to 10010101 in binary and 95 in hexadecimal, which are helpful for computer science applications.
Is 149 a perfect square, cube, or triangular number?
149 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 149?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.