Is 3,404,000 a Prime Number?
No, 3,404,000 is not a prime number
Number Properties
- Value:3,404,000
- Number Type:Even, Positive
- Digit Sum:11
- Total Digits:7
- Binary:1100111111000011100000
- Hexadecimal:33F0E0
Prime Status
3,404,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 53 × 23 × 37
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 37, 40, 46, 50, 74, 80, 92, 100, 115, 125, 148, 160, 184, 185, 200, 230, 250, 296, 368, 370, 400, 460, 500, 575, 592, 736, 740, 800, 851, 920, 925, 1000, 1150, 1184, 1480, 1702, 1840, 1850, 2000, 2300, 2875, 2960, 3404, 3680, 3700, 4000, 4255, 4600, 4625, 5750, 5920, 6808, 7400, 8510, 9200, 9250, 11500, 13616, 14800, 17020, 18400, 18500, 21275, 23000, 27232, 29600, 34040, 37000, 42550, 46000, 68080, 74000, 85100, 92000, 106375, 136160, 148000, 170200, 212750, 340400, 425500, 680800, 851000, 1702000, 3404000
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.