Is 3,438,540 a Prime Number?
No, 3,438,540 is not a prime number
Number Properties
- Value:3,438,540
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000111011111001100
- Hexadecimal:3477CC
Prime Status
3,438,540 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 7 × 2729
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260, 2729, 5458, 8187, 10916, 13645, 16374, 19103, 24561, 27290, 32748, 38206, 40935, 49122, 54580, 57309, 76412, 81870, 95515, 98244, 114618, 122805, 163740, 171927, 191030, 229236, 245610, 286545, 343854, 382060, 491220, 573090, 687708, 859635, 1146180, 1719270, 3438540
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.