Is 3,349,962 a Prime Number?
No, 3,349,962 is not a prime number
Number Properties
- Value:3,349,962
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1100110001110111001010
- Hexadecimal:331DCA
Prime Status
3,349,962 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 7 × 11 × 2417
Divisors
Total divisors: 48
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386, 2417, 4834, 7251, 14502, 16919, 21753, 26587, 33838, 43506, 50757, 53174, 79761, 101514, 152271, 159522, 186109, 239283, 304542, 372218, 478566, 558327, 1116654, 1674981, 3349962
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.