Is 248,196 a Prime Number?
No, 248,196 is not a prime number
Number Properties
- Value:248,196
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:6
- Binary:111100100110000100
- Hexadecimal:3C984
Prime Status
248,196 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 13 × 37 × 43
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 43, 52, 74, 78, 86, 111, 129, 148, 156, 172, 222, 258, 444, 481, 516, 559, 962, 1118, 1443, 1591, 1677, 1924, 2236, 2886, 3182, 3354, 4773, 5772, 6364, 6708, 9546, 19092, 20683, 41366, 62049, 82732, 124098, 248196
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.