Is 3,742,788 a Prime Number?
No, 3,742,788 is not a prime number
Number Properties
- Value:3,742,788
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1110010001110001000100
- Hexadecimal:391C44
Prime Status
3,742,788 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 17 × 2621
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428, 2621, 5242, 7863, 10484, 15726, 18347, 31452, 36694, 44557, 55041, 73388, 89114, 110082, 133671, 178228, 220164, 267342, 311899, 534684, 623798, 935697, 1247596, 1871394, 3742788
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.