Is 4,736,676 a Prime Number?
No, 4,736,676 is not a prime number
Number Properties
- Value:4,736,676
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:10010000100011010100100
- Hexadecimal:4846A4
Prime Status
4,736,676 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 17 × 31 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 31, 34, 42, 51, 62, 68, 84, 93, 102, 107, 119, 124, 186, 204, 214, 217, 238, 321, 357, 372, 428, 434, 476, 527, 642, 651, 714, 749, 868, 1054, 1284, 1302, 1428, 1498, 1581, 1819, 2108, 2247, 2604, 2996, 3162, 3317, 3638, 3689, 4494, 5457, 6324, 6634, 7276, 7378, 8988, 9951, 10914, 11067, 12733, 13268, 14756, 19902, 21828, 22134, 23219, 25466, 38199, 39804, 44268, 46438, 50932, 56389, 69657, 76398, 92876, 112778, 139314, 152796, 169167, 225556, 278628, 338334, 394723, 676668, 789446, 1184169, 1578892, 2368338, 4736676
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.