Is 1,304,008 a Prime Number?
No, 1,304,008 is not a prime number
Number Properties
- Value:1,304,008
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:100111110010111001000
- Hexadecimal:13E5C8
Prime Status
1,304,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 19 × 23 × 373
Divisors
Total divisors: 32
1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 373, 437, 746, 874, 1492, 1748, 2984, 3496, 7087, 8579, 14174, 17158, 28348, 34316, 56696, 68632, 163001, 326002, 652004, 1304008
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.