Is 3,437,172 a Prime Number?
No, 3,437,172 is not a prime number
Number Properties
- Value:3,437,172
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000111001001110100
- Hexadecimal:347274
Prime Status
3,437,172 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 307 × 311
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 311, 614, 622, 921, 933, 1228, 1244, 1842, 1866, 2763, 2799, 3684, 3732, 5526, 5598, 11052, 11196, 95477, 190954, 286431, 381908, 572862, 859293, 1145724, 1718586, 3437172
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.