Is 3,422,790 a Prime Number?
No, 3,422,790 is not a prime number
Number Properties
- Value:3,422,790
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000011101001000110
- Hexadecimal:343A46
Prime Status
3,422,790 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 7 × 1811
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1811, 1890, 3622, 5433, 9055, 10866, 12677, 16299, 18110, 25354, 27165, 32598, 38031, 48897, 54330, 63385, 76062, 81495, 97794, 114093, 126770, 162990, 190155, 228186, 244485, 342279, 380310, 488970, 570465, 684558, 1140930, 1711395, 3422790
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.