Is 427,196 a Prime Number?
No, 427,196 is not a prime number
Number Properties
- Value:427,196
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:6
- Binary:1101000010010111100
- Hexadecimal:684BC
Prime Status
427,196 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 11 × 19 × 73
Divisors
Total divisors: 48
1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 73, 76, 77, 133, 146, 154, 209, 266, 292, 308, 418, 511, 532, 803, 836, 1022, 1387, 1463, 1606, 2044, 2774, 2926, 3212, 5548, 5621, 5852, 9709, 11242, 15257, 19418, 22484, 30514, 38836, 61028, 106799, 213598, 427196
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.