Is 3,431,324 a Prime Number?
No, 3,431,324 is not a prime number
Number Properties
- Value:3,431,324
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1101000101101110011100
- Hexadecimal:345B9C
Prime Status
3,431,324 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 13 × 19 × 23 × 151
Divisors
Total divisors: 48
1, 2, 4, 13, 19, 23, 26, 38, 46, 52, 76, 92, 151, 247, 299, 302, 437, 494, 598, 604, 874, 988, 1196, 1748, 1963, 2869, 3473, 3926, 5681, 5738, 6946, 7852, 11362, 11476, 13892, 22724, 37297, 45149, 65987, 74594, 90298, 131974, 149188, 180596, 263948, 857831, 1715662, 3431324
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.