Is 3,488,704 a Prime Number?
No, 3,488,704 is not a prime number
Number Properties
- Value:3,488,704
- Number Type:Even, Positive
- Digit Sum:34
- Total Digits:7
- Binary:1101010011101111000000
- Hexadecimal:353BC0
Prime Status
3,488,704 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 192 × 151
Divisors
Total divisors: 42
1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 151, 152, 302, 304, 361, 604, 608, 722, 1208, 1216, 1444, 2416, 2869, 2888, 4832, 5738, 5776, 9664, 11476, 11552, 22952, 23104, 45904, 54511, 91808, 109022, 183616, 218044, 436088, 872176, 1744352, 3488704
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.