Is 3,423,465 a Prime Number?
No, 3,423,465 is not a prime number
Number Properties
- Value:3,423,465
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000011110011101001
- Hexadecimal:343CE9
Prime Status
3,423,465 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
34 × 5 × 79 × 107
Divisors
Total divisors: 40
1, 3, 5, 9, 15, 27, 45, 79, 81, 107, 135, 237, 321, 395, 405, 535, 711, 963, 1185, 1605, 2133, 2889, 3555, 4815, 6399, 8453, 8667, 10665, 14445, 25359, 31995, 42265, 43335, 76077, 126795, 228231, 380385, 684693, 1141155, 3423465
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.