Is 3,184,428 a Prime Number?
No, 3,184,428 is not a prime number
Number Properties
- Value:3,184,428
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1100001001011100101100
- Hexadecimal:30972C
Prime Status
3,184,428 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 13 × 137 × 149
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 137, 149, 156, 274, 298, 411, 447, 548, 596, 822, 894, 1644, 1781, 1788, 1937, 3562, 3874, 5343, 5811, 7124, 7748, 10686, 11622, 20413, 21372, 23244, 40826, 61239, 81652, 122478, 244956, 265369, 530738, 796107, 1061476, 1592214, 3184428
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.