Is 3,449,140 a Prime Number?
No, 3,449,140 is not a prime number
Number Properties
- Value:3,449,140
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101001010000100110100
- Hexadecimal:34A134
Prime Status
3,449,140 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 37 × 59 × 79
Divisors
Total divisors: 48
1, 2, 4, 5, 10, 20, 37, 59, 74, 79, 118, 148, 158, 185, 236, 295, 316, 370, 395, 590, 740, 790, 1180, 1580, 2183, 2923, 4366, 4661, 5846, 8732, 9322, 10915, 11692, 14615, 18644, 21830, 23305, 29230, 43660, 46610, 58460, 93220, 172457, 344914, 689828, 862285, 1724570, 3449140
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.