Is 426,426 a Prime Number?
No, 426,426 is not a prime number
Number Properties
- Value:426,426
- Number Type:Even, Positive, Triangular
- Digit Sum:24
- Total Digits:6
- Binary:1101000000110111010
- Hexadecimal:681BA
Prime Status
426,426 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 7 × 11 × 13 × 71
Divisors
Total divisors: 64
1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 71, 77, 78, 91, 142, 143, 154, 182, 213, 231, 273, 286, 426, 429, 462, 497, 546, 781, 858, 923, 994, 1001, 1491, 1562, 1846, 2002, 2343, 2769, 2982, 3003, 4686, 5467, 5538, 6006, 6461, 10153, 10934, 12922, 16401, 19383, 20306, 30459, 32802, 38766, 60918, 71071, 142142, 213213, 426426
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.