Is 3,418,835 a Prime Number?
No, 3,418,835 is not a prime number
Number Properties
- Value:3,418,835
- Number Type:Odd, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1101000010101011010011
- Hexadecimal:342AD3
Prime Status
3,418,835 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
5 × 7 × 23 × 31 × 137
Divisors
Total divisors: 32
1, 5, 7, 23, 31, 35, 115, 137, 155, 161, 217, 685, 713, 805, 959, 1085, 3151, 3565, 4247, 4795, 4991, 15755, 21235, 22057, 24955, 29729, 97681, 110285, 148645, 488405, 683767, 3418835
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.