Is 426,120 a Prime Number?
No, 426,120 is not a prime number
Number Properties
- Value:426,120
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:6
- Binary:1101000000010001000
- Hexadecimal:68088
Prime Status
426,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 53 × 67
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 67, 106, 120, 134, 159, 201, 212, 265, 268, 318, 335, 402, 424, 530, 536, 636, 670, 795, 804, 1005, 1060, 1272, 1340, 1590, 1608, 2010, 2120, 2680, 3180, 3551, 4020, 6360, 7102, 8040, 10653, 14204, 17755, 21306, 28408, 35510, 42612, 53265, 71020, 85224, 106530, 142040, 213060, 426120
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.