Is 3,690,225 a Prime Number?
No, 3,690,225 is not a prime number
Number Properties
- Value:3,690,225
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110000100111011110001
- Hexadecimal:384EF1
Prime Status
3,690,225 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
33 × 52 × 7 × 11 × 71
Divisors
Total divisors: 96
1, 3, 5, 7, 9, 11, 15, 21, 25, 27, 33, 35, 45, 55, 63, 71, 75, 77, 99, 105, 135, 165, 175, 189, 213, 225, 231, 275, 297, 315, 355, 385, 495, 497, 525, 639, 675, 693, 781, 825, 945, 1065, 1155, 1485, 1491, 1575, 1775, 1917, 1925, 2079, 2343, 2475, 2485, 3195, 3465, 3905, 4473, 4725, 5325, 5467, 5775, 7029, 7425, 7455, 9585, 10395, 11715, 12425, 13419, 15975, 16401, 17325, 19525, 21087, 22365, 27335, 35145, 37275, 47925, 49203, 51975, 58575, 67095, 82005, 105435, 111825, 136675, 147609, 175725, 246015, 335475, 410025, 527175, 738045, 1230075, 3690225
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.