Is 3,438,225 a Prime Number?
No, 3,438,225 is not a prime number
Number Properties
- Value:3,438,225
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000111011010010001
- Hexadecimal:347691
Prime Status
3,438,225 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 52 × 7 × 37 × 59
Divisors
Total divisors: 72
1, 3, 5, 7, 9, 15, 21, 25, 35, 37, 45, 59, 63, 75, 105, 111, 175, 177, 185, 225, 259, 295, 315, 333, 413, 525, 531, 555, 777, 885, 925, 1239, 1295, 1475, 1575, 1665, 2065, 2183, 2331, 2655, 2775, 3717, 3885, 4425, 6195, 6475, 6549, 8325, 10325, 10915, 11655, 13275, 15281, 18585, 19425, 19647, 30975, 32745, 45843, 54575, 58275, 76405, 92925, 98235, 137529, 163725, 229215, 382025, 491175, 687645, 1146075, 3438225
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.