Is 4,776,090 a Prime Number?
No, 4,776,090 is not a prime number
Number Properties
- Value:4,776,090
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:10010001110000010011010
- Hexadecimal:48E09A
Prime Status
4,776,090 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 11 × 41 × 353
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 41, 55, 66, 82, 110, 123, 165, 205, 246, 330, 353, 410, 451, 615, 706, 902, 1059, 1230, 1353, 1765, 2118, 2255, 2706, 3530, 3883, 4510, 5295, 6765, 7766, 10590, 11649, 13530, 14473, 19415, 23298, 28946, 38830, 43419, 58245, 72365, 86838, 116490, 144730, 159203, 217095, 318406, 434190, 477609, 796015, 955218, 1592030, 2388045, 4776090
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.