Is 997,407 a Prime Number?
No, 997,407 is not a prime number
Number Properties
- Value:997,407
- Number Type:Odd, Positive
- Digit Sum:36
- Total Digits:6
- Binary:11110011100000011111
- Hexadecimal:F381F
Prime Status
997,407 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
33 × 17 × 41 × 53
Divisors
Total divisors: 32
1, 3, 9, 17, 27, 41, 51, 53, 123, 153, 159, 369, 459, 477, 697, 901, 1107, 1431, 2091, 2173, 2703, 6273, 6519, 8109, 18819, 19557, 24327, 36941, 58671, 110823, 332469, 997407
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.