Is 488,160 a Prime Number?
No, 488,160 is not a prime number
Number Properties
- Value:488,160
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:6
- Binary:1110111001011100000
- Hexadecimal:772E0
Prime Status
488,160 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 33 × 5 × 113
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 113, 120, 135, 144, 160, 180, 216, 226, 240, 270, 288, 339, 360, 432, 452, 480, 540, 565, 678, 720, 864, 904, 1017, 1080, 1130, 1356, 1440, 1695, 1808, 2034, 2160, 2260, 2712, 3051, 3390, 3616, 4068, 4320, 4520, 5085, 5424, 6102, 6780, 8136, 9040, 10170, 10848, 12204, 13560, 15255, 16272, 18080, 20340, 24408, 27120, 30510, 32544, 40680, 48816, 54240, 61020, 81360, 97632, 122040, 162720, 244080, 488160
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.