Is 4,604,004 a Prime Number?
No, 4,604,004 is not a prime number
Number Properties
- Value:4,604,004
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:10001100100000001100100
- Hexadecimal:464064
Prime Status
4,604,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 19 × 53 × 127
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 53, 57, 76, 106, 114, 127, 159, 171, 212, 228, 254, 318, 342, 381, 477, 508, 636, 684, 762, 954, 1007, 1143, 1524, 1908, 2014, 2286, 2413, 3021, 4028, 4572, 4826, 6042, 6731, 7239, 9063, 9652, 12084, 13462, 14478, 18126, 20193, 21717, 26924, 28956, 36252, 40386, 43434, 60579, 80772, 86868, 121158, 127889, 242316, 255778, 383667, 511556, 767334, 1151001, 1534668, 2302002, 4604004
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.