Is 488,940 a Prime Number?
No, 488,940 is not a prime number
Number Properties
- Value:488,940
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:6
- Binary:1110111010111101100
- Hexadecimal:775EC
Prime Status
488,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 29 × 281
Divisors
Total divisors: 48
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 281, 290, 348, 435, 562, 580, 843, 870, 1124, 1405, 1686, 1740, 2810, 3372, 4215, 5620, 8149, 8430, 16298, 16860, 24447, 32596, 40745, 48894, 81490, 97788, 122235, 162980, 244470, 488940
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.