Is 3,442,400 a Prime Number?
No, 3,442,400 is not a prime number
Number Properties
- Value:3,442,400
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:1101001000011011100000
- Hexadecimal:3486E0
Prime Status
3,442,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 52 × 13 × 331
Divisors
Total divisors: 72
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 130, 160, 200, 208, 260, 325, 331, 400, 416, 520, 650, 662, 800, 1040, 1300, 1324, 1655, 2080, 2600, 2648, 3310, 4303, 5200, 5296, 6620, 8275, 8606, 10400, 10592, 13240, 16550, 17212, 21515, 26480, 33100, 34424, 43030, 52960, 66200, 68848, 86060, 107575, 132400, 137696, 172120, 215150, 264800, 344240, 430300, 688480, 860600, 1721200, 3442400
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.