Is 3,428,400 a Prime Number?
No, 3,428,400 is not a prime number
Number Properties
- Value:3,428,400
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000101000000110000
- Hexadecimal:345030
Prime Status
3,428,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 52 × 2857
Divisors
Total divisors: 60
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200, 2857, 5714, 8571, 11428, 14285, 17142, 22856, 28570, 34284, 42855, 45712, 57140, 68568, 71425, 85710, 114280, 137136, 142850, 171420, 214275, 228560, 285700, 342840, 428550, 571400, 685680, 857100, 1142800, 1714200, 3428400
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.