Is 4,996,704 a Prime Number?
No, 4,996,704 is not a prime number
Number Properties
- Value:4,996,704
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:10011000011111001100000
- Hexadecimal:4C3E60
Prime Status
4,996,704 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 23 × 31 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 32, 46, 48, 62, 69, 73, 92, 93, 96, 124, 138, 146, 184, 186, 219, 248, 276, 292, 368, 372, 438, 496, 552, 584, 713, 736, 744, 876, 992, 1104, 1168, 1426, 1488, 1679, 1752, 2139, 2208, 2263, 2336, 2852, 2976, 3358, 3504, 4278, 4526, 5037, 5704, 6716, 6789, 7008, 8556, 9052, 10074, 11408, 13432, 13578, 17112, 18104, 20148, 22816, 26864, 27156, 34224, 36208, 40296, 52049, 53728, 54312, 68448, 72416, 80592, 104098, 108624, 156147, 161184, 208196, 217248, 312294, 416392, 624588, 832784, 1249176, 1665568, 2498352, 4996704
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.