Is 4,760,964 a Prime Number?
No, 4,760,964 is not a prime number
Number Properties
- Value:4,760,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10010001010010110000100
- Hexadecimal:48A584
Prime Status
4,760,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 13 × 3391
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404, 3391, 6782, 10173, 13564, 20346, 30519, 40692, 44083, 61038, 88166, 91557, 122076, 132249, 176332, 183114, 264498, 366228, 396747, 528996, 793494, 1190241, 1586988, 2380482, 4760964
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.