Is 3,475,008 a Prime Number?
No, 3,475,008 is not a prime number
Number Properties
- Value:3,475,008
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010000011001000000
- Hexadecimal:350640
Prime Status
3,475,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 33 × 2011
Divisors
Total divisors: 56
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728, 2011, 4022, 6033, 8044, 12066, 16088, 18099, 24132, 32176, 36198, 48264, 54297, 64352, 72396, 96528, 108594, 128704, 144792, 193056, 217188, 289584, 386112, 434376, 579168, 868752, 1158336, 1737504, 3475008
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.