Is 3,687,420 a Prime Number?
No, 3,687,420 is not a prime number
Number Properties
- Value:3,687,420
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1110000100001111111100
- Hexadecimal:3843FC
Prime Status
3,687,420 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 11 × 37 × 151
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 37, 44, 55, 60, 66, 74, 110, 111, 132, 148, 151, 165, 185, 220, 222, 302, 330, 370, 407, 444, 453, 555, 604, 660, 740, 755, 814, 906, 1110, 1221, 1510, 1628, 1661, 1812, 2035, 2220, 2265, 2442, 3020, 3322, 4070, 4530, 4884, 4983, 5587, 6105, 6644, 8140, 8305, 9060, 9966, 11174, 12210, 16610, 16761, 19932, 22348, 24420, 24915, 27935, 33220, 33522, 49830, 55870, 61457, 67044, 83805, 99660, 111740, 122914, 167610, 184371, 245828, 307285, 335220, 368742, 614570, 737484, 921855, 1229140, 1843710, 3687420
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.