Is 484,720 a Prime Number?
No, 484,720 is not a prime number
Number Properties
- Value:484,720
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:6
- Binary:1110110010101110000
- Hexadecimal:76570
Prime Status
484,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 73 × 83
Divisors
Total divisors: 40
1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 83, 146, 166, 292, 332, 365, 415, 584, 664, 730, 830, 1168, 1328, 1460, 1660, 2920, 3320, 5840, 6059, 6640, 12118, 24236, 30295, 48472, 60590, 96944, 121180, 242360, 484720
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.