Is 478,920 a Prime Number?
No, 478,920 is not a prime number
Number Properties
- Value:478,920
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:6
- Binary:1110100111011001000
- Hexadecimal:74EC8
Prime Status
478,920 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 13 × 307
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 307, 312, 390, 520, 614, 780, 921, 1228, 1535, 1560, 1842, 2456, 3070, 3684, 3991, 4605, 6140, 7368, 7982, 9210, 11973, 12280, 15964, 18420, 19955, 23946, 31928, 36840, 39910, 47892, 59865, 79820, 95784, 119730, 159640, 239460, 478920
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.