Is 165,165 a Prime Number?
No, 165,165 is not a prime number
Number Properties
- Value:165,165
- Number Type:Odd, Positive
- Digit Sum:24
- Total Digits:6
- Binary:101000010100101101
- Hexadecimal:2852D
Prime Status
165,165 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 7 × 112 × 13
Divisors
Total divisors: 48
1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 39, 55, 65, 77, 91, 105, 121, 143, 165, 195, 231, 273, 363, 385, 429, 455, 605, 715, 847, 1001, 1155, 1365, 1573, 1815, 2145, 2541, 3003, 4235, 4719, 5005, 7865, 11011, 12705, 15015, 23595, 33033, 55055, 165165
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.