Is 3,437,400 a Prime Number?
No, 3,437,400 is not a prime number
Number Properties
- Value:3,437,400
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000111001101011000
- Hexadecimal:347358
Prime Status
3,437,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 52 × 17 × 337
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 136, 150, 170, 200, 204, 255, 300, 337, 340, 408, 425, 510, 600, 674, 680, 850, 1011, 1020, 1275, 1348, 1685, 1700, 2022, 2040, 2550, 2696, 3370, 3400, 4044, 5055, 5100, 5729, 6740, 8088, 8425, 10110, 10200, 11458, 13480, 16850, 17187, 20220, 22916, 25275, 28645, 33700, 34374, 40440, 45832, 50550, 57290, 67400, 68748, 85935, 101100, 114580, 137496, 143225, 171870, 202200, 229160, 286450, 343740, 429675, 572900, 687480, 859350, 1145800, 1718700, 3437400
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.