Is 3,429,690 a Prime Number?
No, 3,429,690 is not a prime number
Number Properties
- Value:3,429,690
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101000101010100111010
- Hexadecimal:34553A
Prime Status
3,429,690 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 11 × 19 × 547
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 547, 570, 627, 1045, 1094, 1254, 1641, 2090, 2735, 3135, 3282, 5470, 6017, 6270, 8205, 10393, 12034, 16410, 18051, 20786, 30085, 31179, 36102, 51965, 60170, 62358, 90255, 103930, 114323, 155895, 180510, 228646, 311790, 342969, 571615, 685938, 1143230, 1714845, 3429690
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.