Is 4,187,196 a Prime Number?
No, 4,187,196 is not a prime number
Number Properties
- Value:4,187,196
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1111111110010000111100
- Hexadecimal:3FE43C
Prime Status
4,187,196 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 23 × 389
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 36, 39, 46, 52, 69, 78, 92, 117, 138, 156, 207, 234, 276, 299, 389, 414, 468, 598, 778, 828, 897, 1167, 1196, 1556, 1794, 2334, 2691, 3501, 3588, 4668, 5057, 5382, 7002, 8947, 10114, 10764, 14004, 15171, 17894, 20228, 26841, 30342, 35788, 45513, 53682, 60684, 80523, 91026, 107364, 116311, 161046, 182052, 232622, 322092, 348933, 465244, 697866, 1046799, 1395732, 2093598, 4187196
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.