Is 1,288,440 a Prime Number?
No, 1,288,440 is not a prime number
Number Properties
- Value:1,288,440
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:100111010100011111000
- Hexadecimal:13A8F8
Prime Status
1,288,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 33 × 5 × 1193
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080, 1193, 2386, 3579, 4772, 5965, 7158, 9544, 10737, 11930, 14316, 17895, 21474, 23860, 28632, 32211, 35790, 42948, 47720, 53685, 64422, 71580, 85896, 107370, 128844, 143160, 161055, 214740, 257688, 322110, 429480, 644220, 1288440
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.