Is 3,426,000 a Prime Number?
No, 3,426,000 is not a prime number
Number Properties
- Value:3,426,000
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101000100011011010000
- Hexadecimal:3446D0
Prime Status
3,426,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 53 × 571
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 571, 600, 750, 1000, 1142, 1200, 1500, 1713, 2000, 2284, 2855, 3000, 3426, 4568, 5710, 6000, 6852, 8565, 9136, 11420, 13704, 14275, 17130, 22840, 27408, 28550, 34260, 42825, 45680, 57100, 68520, 71375, 85650, 114200, 137040, 142750, 171300, 214125, 228400, 285500, 342600, 428250, 571000, 685200, 856500, 1142000, 1713000, 3426000
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.