Is 3,438,375 a Prime Number?
No, 3,438,375 is not a prime number
Number Properties
- Value:3,438,375
- Number Type:Odd, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101000111011100100111
- Hexadecimal:347727
Prime Status
3,438,375 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 53 × 53 × 173
Divisors
Total divisors: 32
1, 3, 5, 15, 25, 53, 75, 125, 159, 173, 265, 375, 519, 795, 865, 1325, 2595, 3975, 4325, 6625, 9169, 12975, 19875, 21625, 27507, 45845, 64875, 137535, 229225, 687675, 1146125, 3438375
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.