Is 3,426,200 a Prime Number?
No, 3,426,200 is not a prime number
Number Properties
- Value:3,426,200
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:1101000100011110011000
- Hexadecimal:344798
Prime Status
3,426,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 52 × 37 × 463
Divisors
Total divisors: 48
1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 463, 740, 925, 926, 1480, 1850, 1852, 2315, 3700, 3704, 4630, 7400, 9260, 11575, 17131, 18520, 23150, 34262, 46300, 68524, 85655, 92600, 137048, 171310, 342620, 428275, 685240, 856550, 1713100, 3426200
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.