Is 3,439,995 a Prime Number?
No, 3,439,995 is not a prime number
Number Properties
- Value:3,439,995
- Number Type:Odd, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1101000111110101111011
- Hexadecimal:347D7B
Prime Status
3,439,995 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 132 × 23 × 59
Divisors
Total divisors: 48
1, 3, 5, 13, 15, 23, 39, 59, 65, 69, 115, 169, 177, 195, 295, 299, 345, 507, 767, 845, 885, 897, 1357, 1495, 2301, 2535, 3835, 3887, 4071, 4485, 6785, 9971, 11505, 11661, 17641, 19435, 20355, 29913, 49855, 52923, 58305, 88205, 149565, 229333, 264615, 687999, 1146665, 3439995
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.