Is 3,423,090 a Prime Number?
No, 3,423,090 is not a prime number
Number Properties
- Value:3,423,090
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000011101101110010
- Hexadecimal:343B72
Prime Status
3,423,090 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 112 × 23 × 41
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 41, 46, 55, 66, 69, 82, 110, 115, 121, 123, 138, 165, 205, 230, 242, 246, 253, 330, 345, 363, 410, 451, 506, 605, 615, 690, 726, 759, 902, 943, 1210, 1230, 1265, 1353, 1518, 1815, 1886, 2255, 2530, 2706, 2783, 2829, 3630, 3795, 4510, 4715, 4961, 5566, 5658, 6765, 7590, 8349, 9430, 9922, 10373, 13530, 13915, 14145, 14883, 16698, 20746, 24805, 27830, 28290, 29766, 31119, 41745, 49610, 51865, 62238, 74415, 83490, 103730, 114103, 148830, 155595, 228206, 311190, 342309, 570515, 684618, 1141030, 1711545, 3423090
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.