Is 3,478,629 a Prime Number?
No, 3,478,629 is not a prime number
Number Properties
- Value:3,478,629
- Number Type:Odd, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1101010001010001100101
- Hexadecimal:351465
Prime Status
3,478,629 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 7 × 112 × 372
Divisors
Total divisors: 36
1, 3, 7, 11, 21, 33, 37, 77, 111, 121, 231, 259, 363, 407, 777, 847, 1221, 1369, 2541, 2849, 4107, 4477, 8547, 9583, 13431, 15059, 28749, 31339, 45177, 94017, 105413, 165649, 316239, 496947, 1159543, 3478629
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.