Is 3,364,790 a Prime Number?
No, 3,364,790 is not a prime number
Number Properties
- Value:3,364,790
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1100110101011110110110
- Hexadecimal:3357B6
Prime Status
3,364,790 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 11 × 132 × 181
Divisors
Total divisors: 48
1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 169, 181, 286, 338, 362, 715, 845, 905, 1430, 1690, 1810, 1859, 1991, 2353, 3718, 3982, 4706, 9295, 9955, 11765, 18590, 19910, 23530, 25883, 30589, 51766, 61178, 129415, 152945, 258830, 305890, 336479, 672958, 1682395, 3364790
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.