Is 996,996 a Prime Number?
No, 996,996 is not a prime number
Number Properties
- Value:996,996
- Number Type:Even, Positive
- Digit Sum:48
- Total Digits:6
- Binary:11110011011010000100
- Hexadecimal:F3684
Prime Status
996,996 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 11 × 13 × 83
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 11, 12, 13, 14, 21, 22, 26, 28, 33, 39, 42, 44, 52, 66, 77, 78, 83, 84, 91, 132, 143, 154, 156, 166, 182, 231, 249, 273, 286, 308, 332, 364, 429, 462, 498, 546, 572, 581, 858, 913, 924, 996, 1001, 1079, 1092, 1162, 1716, 1743, 1826, 2002, 2158, 2324, 2739, 3003, 3237, 3486, 3652, 4004, 4316, 5478, 6006, 6391, 6474, 6972, 7553, 10956, 11869, 12012, 12782, 12948, 15106, 19173, 22659, 23738, 25564, 30212, 35607, 38346, 45318, 47476, 71214, 76692, 83083, 90636, 142428, 166166, 249249, 332332, 498498, 996996
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.