Is 3,425,984 a Prime Number?
No, 3,425,984 is not a prime number
Number Properties
- Value:3,425,984
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1101000100011011000000
- Hexadecimal:3446C0
Prime Status
3,425,984 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 199 × 269
Divisors
Total divisors: 28
1, 2, 4, 8, 16, 32, 64, 199, 269, 398, 538, 796, 1076, 1592, 2152, 3184, 4304, 6368, 8608, 12736, 17216, 53531, 107062, 214124, 428248, 856496, 1712992, 3425984
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.