Is 3,431,000 a Prime Number?
No, 3,431,000 is not a prime number
Number Properties
- Value:3,431,000
- Number Type:Even, Positive
- Digit Sum:11
- Total Digits:7
- Binary:1101000101101001011000
- Hexadecimal:345A58
Prime Status
3,431,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 53 × 47 × 73
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 73, 94, 100, 125, 146, 188, 200, 235, 250, 292, 365, 376, 470, 500, 584, 730, 940, 1000, 1175, 1460, 1825, 1880, 2350, 2920, 3431, 3650, 4700, 5875, 6862, 7300, 9125, 9400, 11750, 13724, 14600, 17155, 18250, 23500, 27448, 34310, 36500, 47000, 68620, 73000, 85775, 137240, 171550, 343100, 428875, 686200, 857750, 1715500, 3431000
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.