Is 996,000 a Prime Number?
No, 996,000 is not a prime number
Number Properties
- Value:996,000
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:6
- Binary:11110011001010100000
- Hexadecimal:F32A0
Prime Status
996,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 53 × 83
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 83, 96, 100, 120, 125, 150, 160, 166, 200, 240, 249, 250, 300, 332, 375, 400, 415, 480, 498, 500, 600, 664, 750, 800, 830, 996, 1000, 1200, 1245, 1328, 1500, 1660, 1992, 2000, 2075, 2400, 2490, 2656, 3000, 3320, 3984, 4000, 4150, 4980, 6000, 6225, 6640, 7968, 8300, 9960, 10375, 12000, 12450, 13280, 16600, 19920, 20750, 24900, 31125, 33200, 39840, 41500, 49800, 62250, 66400, 83000, 99600, 124500, 166000, 199200, 249000, 332000, 498000, 996000
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.