Is 3,424,200 a Prime Number?
No, 3,424,200 is not a prime number
Number Properties
- Value:3,424,200
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101000011111111001000
- Hexadecimal:343FC8
Prime Status
3,424,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 52 × 13 × 439
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 439, 520, 600, 650, 780, 878, 975, 1300, 1317, 1560, 1756, 1950, 2195, 2600, 2634, 3512, 3900, 4390, 5268, 5707, 6585, 7800, 8780, 10536, 10975, 11414, 13170, 17121, 17560, 21950, 22828, 26340, 28535, 32925, 34242, 43900, 45656, 52680, 57070, 65850, 68484, 85605, 87800, 114140, 131700, 136968, 142675, 171210, 228280, 263400, 285350, 342420, 428025, 570700, 684840, 856050, 1141400, 1712100, 3424200
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.