Is 3,429,648 a Prime Number?
No, 3,429,648 is not a prime number
Number Properties
- Value:3,429,648
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101000101010100010000
- Hexadecimal:345510
Prime Status
3,429,648 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 33 × 17 × 467
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 467, 612, 816, 918, 934, 1224, 1401, 1836, 1868, 2448, 2802, 3672, 3736, 4203, 5604, 7344, 7472, 7939, 8406, 11208, 12609, 15878, 16812, 22416, 23817, 25218, 31756, 33624, 47634, 50436, 63512, 67248, 71451, 95268, 100872, 127024, 142902, 190536, 201744, 214353, 285804, 381072, 428706, 571608, 857412, 1143216, 1714824, 3429648
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.