Is 3,438,638 a Prime Number?
No, 3,438,638 is not a prime number
Number Properties
- Value:3,438,638
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1101000111100000101110
- Hexadecimal:34782E
Prime Status
3,438,638 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 7 × 23 × 59 × 181
Divisors
Total divisors: 32
1, 2, 7, 14, 23, 46, 59, 118, 161, 181, 322, 362, 413, 826, 1267, 1357, 2534, 2714, 4163, 8326, 9499, 10679, 18998, 21358, 29141, 58282, 74753, 149506, 245617, 491234, 1719319, 3438638
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.