Is 3,431,142 a Prime Number?
No, 3,431,142 is not a prime number
Number Properties
- Value:3,431,142
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101000101101011100110
- Hexadecimal:345AE6
Prime Status
3,431,142 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 11 × 13 × 31 × 43
Divisors
Total divisors: 96
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 31, 33, 39, 43, 62, 66, 78, 86, 93, 99, 117, 129, 143, 186, 198, 234, 258, 279, 286, 341, 387, 403, 429, 473, 558, 559, 682, 774, 806, 858, 946, 1023, 1118, 1209, 1287, 1333, 1419, 1677, 2046, 2418, 2574, 2666, 2838, 3069, 3354, 3627, 3999, 4257, 4433, 5031, 6138, 6149, 7254, 7998, 8514, 8866, 10062, 11997, 12298, 13299, 14663, 17329, 18447, 23994, 26598, 29326, 34658, 36894, 39897, 43989, 51987, 55341, 79794, 87978, 103974, 110682, 131967, 155961, 190619, 263934, 311922, 381238, 571857, 1143714, 1715571, 3431142
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.