Is 3,431,025 a Prime Number?
No, 3,431,025 is not a prime number
Number Properties
- Value:3,431,025
- Number Type:Odd, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101000101101001110001
- Hexadecimal:345A71
Prime Status
3,431,025 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
33 × 52 × 13 × 17 × 23
Divisors
Total divisors: 96
1, 3, 5, 9, 13, 15, 17, 23, 25, 27, 39, 45, 51, 65, 69, 75, 85, 115, 117, 135, 153, 195, 207, 221, 225, 255, 299, 325, 345, 351, 391, 425, 459, 575, 585, 621, 663, 675, 765, 897, 975, 1035, 1105, 1173, 1275, 1495, 1725, 1755, 1955, 1989, 2295, 2691, 2925, 3105, 3315, 3519, 3825, 4485, 5083, 5175, 5525, 5865, 5967, 7475, 8073, 8775, 9775, 9945, 10557, 11475, 13455, 15249, 15525, 16575, 17595, 22425, 25415, 29325, 29835, 40365, 45747, 49725, 52785, 67275, 76245, 87975, 127075, 137241, 149175, 201825, 228735, 263925, 381225, 686205, 1143675, 3431025
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.