Is 3,438,588 a Prime Number?
No, 3,438,588 is not a prime number
Number Properties
- Value:3,438,588
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1101000111011111111100
- Hexadecimal:3477FC
Prime Status
3,438,588 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 29 × 41 × 241
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 29, 41, 58, 82, 87, 116, 123, 164, 174, 241, 246, 348, 482, 492, 723, 964, 1189, 1446, 2378, 2892, 3567, 4756, 6989, 7134, 9881, 13978, 14268, 19762, 20967, 27956, 29643, 39524, 41934, 59286, 83868, 118572, 286549, 573098, 859647, 1146196, 1719294, 3438588
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.