Is 3,376,965 a Prime Number?
No, 3,376,965 is not a prime number
Number Properties
- Value:3,376,965
- Number Type:Odd, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1100111000011101000101
- Hexadecimal:338745
Prime Status
3,376,965 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 172 × 19 × 41
Divisors
Total divisors: 48
1, 3, 5, 15, 17, 19, 41, 51, 57, 85, 95, 123, 205, 255, 285, 289, 323, 615, 697, 779, 867, 969, 1445, 1615, 2091, 2337, 3485, 3895, 4335, 4845, 5491, 10455, 11685, 11849, 13243, 16473, 27455, 35547, 39729, 59245, 66215, 82365, 177735, 198645, 225131, 675393, 1125655, 3376965
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.