Is 3,417,425 a Prime Number?
No, 3,417,425 is not a prime number
Number Properties
- Value:3,417,425
- Number Type:Odd, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000010010101010001
- Hexadecimal:342551
Prime Status
3,417,425 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
52 × 11 × 172 × 43
Divisors
Total divisors: 36
1, 5, 11, 17, 25, 43, 55, 85, 187, 215, 275, 289, 425, 473, 731, 935, 1075, 1445, 2365, 3179, 3655, 4675, 7225, 8041, 11825, 12427, 15895, 18275, 40205, 62135, 79475, 136697, 201025, 310675, 683485, 3417425
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.