Is 4,776,996 a Prime Number?
No, 4,776,996 is not a prime number
Number Properties
- Value:4,776,996
- Number Type:Even, Positive
- Digit Sum:48
- Total Digits:7
- Binary:10010001110010000100100
- Hexadecimal:48E424
Prime Status
4,776,996 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 29 × 37 × 53
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 37, 42, 53, 58, 74, 84, 87, 106, 111, 116, 148, 159, 174, 203, 212, 222, 259, 318, 348, 371, 406, 444, 518, 609, 636, 742, 777, 812, 1036, 1073, 1113, 1218, 1484, 1537, 1554, 1961, 2146, 2226, 2436, 3074, 3108, 3219, 3922, 4292, 4452, 4611, 5883, 6148, 6438, 7511, 7844, 9222, 10759, 11766, 12876, 13727, 15022, 18444, 21518, 22533, 23532, 27454, 30044, 32277, 41181, 43036, 45066, 54908, 56869, 64554, 82362, 90132, 113738, 129108, 164724, 170607, 227476, 341214, 398083, 682428, 796166, 1194249, 1592332, 2388498, 4776996
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.