Is 3,423,500 a Prime Number?
No, 3,423,500 is not a prime number
Number Properties
- Value:3,423,500
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:1101000011110100001100
- Hexadecimal:343D0C
Prime Status
3,423,500 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 53 × 41 × 167
Divisors
Total divisors: 48
1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 125, 164, 167, 205, 250, 334, 410, 500, 668, 820, 835, 1025, 1670, 2050, 3340, 4100, 4175, 5125, 6847, 8350, 10250, 13694, 16700, 20500, 20875, 27388, 34235, 41750, 68470, 83500, 136940, 171175, 342350, 684700, 855875, 1711750, 3423500
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.