Is 3,422,000 a Prime Number?
No, 3,422,000 is not a prime number
Number Properties
- Value:3,422,000
- Number Type:Even, Positive
- Digit Sum:11
- Total Digits:7
- Binary:1101000011011100110000
- Hexadecimal:343730
Prime Status
3,422,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 53 × 29 × 59
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 59, 80, 100, 116, 118, 125, 145, 200, 232, 236, 250, 290, 295, 400, 464, 472, 500, 580, 590, 725, 944, 1000, 1160, 1180, 1450, 1475, 1711, 2000, 2320, 2360, 2900, 2950, 3422, 3625, 4720, 5800, 5900, 6844, 7250, 7375, 8555, 11600, 11800, 13688, 14500, 14750, 17110, 23600, 27376, 29000, 29500, 34220, 42775, 58000, 59000, 68440, 85550, 118000, 136880, 171100, 213875, 342200, 427750, 684400, 855500, 1711000, 3422000
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.