Is 3,426,213 a Prime Number?
No, 3,426,213 is not a prime number
Number Properties
- Value:3,426,213
- Number Type:Odd, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000100011110100101
- Hexadecimal:3447A5
Prime Status
3,426,213 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 7 × 19 × 31 × 277
Divisors
Total divisors: 32
1, 3, 7, 19, 21, 31, 57, 93, 133, 217, 277, 399, 589, 651, 831, 1767, 1939, 4123, 5263, 5817, 8587, 12369, 15789, 25761, 36841, 60109, 110523, 163153, 180327, 489459, 1142071, 3426213
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.