Is 3,421,131 a Prime Number?
No, 3,421,131 is not a prime number
Number Properties
- Value:3,421,131
- Number Type:Odd, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101000011001111001011
- Hexadecimal:3433CB
Prime Status
3,421,131 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 72 × 17 × 372
Divisors
Total divisors: 36
1, 3, 7, 17, 21, 37, 49, 51, 111, 119, 147, 259, 357, 629, 777, 833, 1369, 1813, 1887, 2499, 4107, 4403, 5439, 9583, 13209, 23273, 28749, 30821, 67081, 69819, 92463, 162911, 201243, 488733, 1140377, 3421131
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.