Is 1,482,400 a Prime Number?
No, 1,482,400 is not a prime number
Number Properties
- Value:1,482,400
- Number Type:Even, Positive
- Digit Sum:19
- Total Digits:7
- Binary:101101001111010100000
- Hexadecimal:169EA0
Prime Status
1,482,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 52 × 17 × 109
Divisors
Total divisors: 72
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80, 85, 100, 109, 136, 160, 170, 200, 218, 272, 340, 400, 425, 436, 544, 545, 680, 800, 850, 872, 1090, 1360, 1700, 1744, 1853, 2180, 2720, 2725, 3400, 3488, 3706, 4360, 5450, 6800, 7412, 8720, 9265, 10900, 13600, 14824, 17440, 18530, 21800, 29648, 37060, 43600, 46325, 59296, 74120, 87200, 92650, 148240, 185300, 296480, 370600, 741200, 1482400
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.