Is 3,426,489 a Prime Number?
No, 3,426,489 is not a prime number
Number Properties
- Value:3,426,489
- Number Type:Odd, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000100100010111001
- Hexadecimal:3448B9
Prime Status
3,426,489 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
33 × 11 × 83 × 139
Divisors
Total divisors: 32
1, 3, 9, 11, 27, 33, 83, 99, 139, 249, 297, 417, 747, 913, 1251, 1529, 2241, 2739, 3753, 4587, 8217, 11537, 13761, 24651, 34611, 41283, 103833, 126907, 311499, 380721, 1142163, 3426489
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.