Is 3,431,925 a Prime Number?
No, 3,431,925 is not a prime number
Number Properties
- Value:3,431,925
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000101110111110101
- Hexadecimal:345DF5
Prime Status
3,431,925 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 52 × 7 × 2179
Divisors
Total divisors: 36
1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575, 2179, 6537, 10895, 15253, 19611, 32685, 45759, 54475, 76265, 98055, 137277, 163425, 228795, 381325, 490275, 686385, 1143975, 3431925
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.