Is 3,678,240 a Prime Number?
No, 3,678,240 is not a prime number
Number Properties
- Value:3,678,240
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1110000010000000100000
- Hexadecimal:382020
Prime Status
3,678,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 79 × 97
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 79, 80, 96, 97, 120, 158, 160, 194, 237, 240, 291, 316, 388, 395, 474, 480, 485, 582, 632, 776, 790, 948, 970, 1164, 1185, 1264, 1455, 1552, 1580, 1896, 1940, 2328, 2370, 2528, 2910, 3104, 3160, 3792, 3880, 4656, 4740, 5820, 6320, 7584, 7663, 7760, 9312, 9480, 11640, 12640, 15326, 15520, 18960, 22989, 23280, 30652, 37920, 38315, 45978, 46560, 61304, 76630, 91956, 114945, 122608, 153260, 183912, 229890, 245216, 306520, 367824, 459780, 613040, 735648, 919560, 1226080, 1839120, 3678240
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.