Is 427,440 a Prime Number?
No, 427,440 is not a prime number
Number Properties
- Value:427,440
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:6
- Binary:1101000010110110000
- Hexadecimal:685B0
Prime Status
427,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 13 × 137
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 137, 156, 195, 208, 240, 260, 274, 312, 390, 411, 520, 548, 624, 685, 780, 822, 1040, 1096, 1370, 1560, 1644, 1781, 2055, 2192, 2740, 3120, 3288, 3562, 4110, 5343, 5480, 6576, 7124, 8220, 8905, 10686, 10960, 14248, 16440, 17810, 21372, 26715, 28496, 32880, 35620, 42744, 53430, 71240, 85488, 106860, 142480, 213720, 427440
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.