Is 3,438,896 a Prime Number?
No, 3,438,896 is not a prime number
Number Properties
- Value:3,438,896
- Number Type:Even, Positive
- Digit Sum:41
- Total Digits:7
- Binary:1101000111100100110000
- Hexadecimal:347930
Prime Status
3,438,896 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 17 × 47 × 269
Divisors
Total divisors: 40
1, 2, 4, 8, 16, 17, 34, 47, 68, 94, 136, 188, 269, 272, 376, 538, 752, 799, 1076, 1598, 2152, 3196, 4304, 4573, 6392, 9146, 12643, 12784, 18292, 25286, 36584, 50572, 73168, 101144, 202288, 214931, 429862, 859724, 1719448, 3438896
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.