Is 3,423,906 a Prime Number?
No, 3,423,906 is not a prime number
Number Properties
- Value:3,423,906
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000011111010100010
- Hexadecimal:343EA2
Prime Status
3,423,906 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 37 × 53 × 97
Divisors
Total divisors: 48
1, 2, 3, 6, 9, 18, 37, 53, 74, 97, 106, 111, 159, 194, 222, 291, 318, 333, 477, 582, 666, 873, 954, 1746, 1961, 3589, 3922, 5141, 5883, 7178, 10282, 10767, 11766, 15423, 17649, 21534, 30846, 32301, 35298, 46269, 64602, 92538, 190217, 380434, 570651, 1141302, 1711953, 3423906
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.