Is 3,940,475 a Prime Number?
No, 3,940,475 is not a prime number
Number Properties
- Value:3,940,475
- Number Type:Odd, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1111000010000001111011
- Hexadecimal:3C207B
Prime Status
3,940,475 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
52 × 7 × 11 × 23 × 89
Divisors
Total divisors: 48
1, 5, 7, 11, 23, 25, 35, 55, 77, 89, 115, 161, 175, 253, 275, 385, 445, 575, 623, 805, 979, 1265, 1771, 1925, 2047, 2225, 3115, 4025, 4895, 6325, 6853, 8855, 10235, 14329, 15575, 22517, 24475, 34265, 44275, 51175, 71645, 112585, 157619, 171325, 358225, 562925, 788095, 3940475
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.