Is 3,400,000 a Prime Number?
No, 3,400,000 is not a prime number
Number Properties
- Value:3,400,000
- Number Type:Even, Positive
- Digit Sum:7
- Total Digits:7
- Binary:1100111110000101000000
- Hexadecimal:33E140
Prime Status
3,400,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 55 × 17
Divisors
Total divisors: 84
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 125, 136, 160, 170, 200, 250, 272, 320, 340, 400, 425, 500, 544, 625, 680, 800, 850, 1000, 1088, 1250, 1360, 1600, 1700, 2000, 2125, 2500, 2720, 3125, 3400, 4000, 4250, 5000, 5440, 6250, 6800, 8000, 8500, 10000, 10625, 12500, 13600, 17000, 20000, 21250, 25000, 27200, 34000, 40000, 42500, 50000, 53125, 68000, 85000, 100000, 106250, 136000, 170000, 200000, 212500, 340000, 425000, 680000, 850000, 1700000, 3400000
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.