Is 3,429,426 a Prime Number?
No, 3,429,426 is not a prime number
Number Properties
- Value:3,429,426
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000101010000110010
- Hexadecimal:345432
Prime Status
3,429,426 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 7 × 11 × 13 × 571
Divisors
Total divisors: 64
1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 571, 858, 1001, 1142, 1713, 2002, 3003, 3426, 3997, 6006, 6281, 7423, 7994, 11991, 12562, 14846, 18843, 22269, 23982, 37686, 43967, 44538, 51961, 81653, 87934, 103922, 131901, 155883, 163306, 244959, 263802, 311766, 489918, 571571, 1143142, 1714713, 3429426
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.