Is 3,137,394 a Prime Number?
No, 3,137,394 is not a prime number
Number Properties
- Value:3,137,394
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1011111101111101110010
- Hexadecimal:2FDF72
Prime Status
3,137,394 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 13 × 19 × 29 × 73
Divisors
Total divisors: 64
1, 2, 3, 6, 13, 19, 26, 29, 38, 39, 57, 58, 73, 78, 87, 114, 146, 174, 219, 247, 377, 438, 494, 551, 741, 754, 949, 1102, 1131, 1387, 1482, 1653, 1898, 2117, 2262, 2774, 2847, 3306, 4161, 4234, 5694, 6351, 7163, 8322, 12702, 14326, 18031, 21489, 27521, 36062, 40223, 42978, 54093, 55042, 80446, 82563, 108186, 120669, 165126, 241338, 522899, 1045798, 1568697, 3137394
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.