Is 3,681,990 a Prime Number?
No, 3,681,990 is not a prime number
Number Properties
- Value:3,681,990
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110000010111011000110
- Hexadecimal:382EC6
Prime Status
3,681,990 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 13 × 1049
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1049, 1170, 1755, 2098, 3147, 3510, 5245, 6294, 9441, 10490, 13637, 15735, 18882, 27274, 28323, 31470, 40911, 47205, 56646, 68185, 81822, 94410, 122733, 136370, 141615, 204555, 245466, 283230, 368199, 409110, 613665, 736398, 1227330, 1840995, 3681990
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.