Is 3,423,640 a Prime Number?
No, 3,423,640 is not a prime number
Number Properties
- Value:3,423,640
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1101000011110110011000
- Hexadecimal:343D98
Prime Status
3,423,640 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 11 × 31 × 251
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 11, 20, 22, 31, 40, 44, 55, 62, 88, 110, 124, 155, 220, 248, 251, 310, 341, 440, 502, 620, 682, 1004, 1240, 1255, 1364, 1705, 2008, 2510, 2728, 2761, 3410, 5020, 5522, 6820, 7781, 10040, 11044, 13640, 13805, 15562, 22088, 27610, 31124, 38905, 55220, 62248, 77810, 85591, 110440, 155620, 171182, 311240, 342364, 427955, 684728, 855910, 1711820, 3423640
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.