Is 3,678,840 a Prime Number?
No, 3,678,840 is not a prime number
Number Properties
- Value:3,678,840
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110000010001001111000
- Hexadecimal:382278
Prime Status
3,678,840 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 11 × 929
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 929, 990, 1320, 1858, 1980, 2787, 3716, 3960, 4645, 5574, 7432, 8361, 9290, 10219, 11148, 13935, 16722, 18580, 20438, 22296, 27870, 30657, 33444, 37160, 40876, 41805, 51095, 55740, 61314, 66888, 81752, 83610, 91971, 102190, 111480, 122628, 153285, 167220, 183942, 204380, 245256, 306570, 334440, 367884, 408760, 459855, 613140, 735768, 919710, 1226280, 1839420, 3678840
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.