Is 3,188,040 a Prime Number?
No, 3,188,040 is not a prime number
Number Properties
- Value:3,188,040
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1100001010010101001000
- Hexadecimal:30A548
Prime Status
3,188,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 31 × 857
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 857, 930, 1240, 1714, 1860, 2571, 3428, 3720, 4285, 5142, 6856, 8570, 10284, 12855, 17140, 20568, 25710, 26567, 34280, 51420, 53134, 79701, 102840, 106268, 132835, 159402, 212536, 265670, 318804, 398505, 531340, 637608, 797010, 1062680, 1594020, 3188040
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.