Is 1,432,000 a Prime Number?
No, 1,432,000 is not a prime number
Number Properties
- Value:1,432,000
- Number Type:Even, Positive
- Digit Sum:10
- Total Digits:7
- Binary:101011101100111000000
- Hexadecimal:15D9C0
Prime Status
1,432,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 53 × 179
Divisors
Total divisors: 56
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 179, 200, 250, 320, 358, 400, 500, 716, 800, 895, 1000, 1432, 1600, 1790, 2000, 2864, 3580, 4000, 4475, 5728, 7160, 8000, 8950, 11456, 14320, 17900, 22375, 28640, 35800, 44750, 57280, 71600, 89500, 143200, 179000, 286400, 358000, 716000, 1432000
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.