Is 489,840 a Prime Number?
No, 489,840 is not a prime number
Number Properties
- Value:489,840
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:6
- Binary:1110111100101110000
- Hexadecimal:77970
Prime Status
489,840 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 13 × 157
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 157, 195, 208, 240, 260, 312, 314, 390, 471, 520, 624, 628, 780, 785, 942, 1040, 1256, 1560, 1570, 1884, 2041, 2355, 2512, 3120, 3140, 3768, 4082, 4710, 6123, 6280, 7536, 8164, 9420, 10205, 12246, 12560, 16328, 18840, 20410, 24492, 30615, 32656, 37680, 40820, 48984, 61230, 81640, 97968, 122460, 163280, 244920, 489840
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.