Is 490,455 a Prime Number?
No, 490,455 is not a prime number
Number Properties
- Value:490,455
- Number Type:Odd, Positive
- Digit Sum:27
- Total Digits:6
- Binary:1110111101111010111
- Hexadecimal:77BD7
Prime Status
490,455 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
34 × 5 × 7 × 173
Divisors
Total divisors: 40
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 173, 189, 315, 405, 519, 567, 865, 945, 1211, 1557, 2595, 2835, 3633, 4671, 6055, 7785, 10899, 14013, 18165, 23355, 32697, 54495, 70065, 98091, 163485, 490455
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.