Is 3,707,400 a Prime Number?
No, 3,707,400 is not a prime number
Number Properties
- Value:3,707,400
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1110001001001000001000
- Hexadecimal:389208
Prime Status
3,707,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 52 × 37 × 167
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 37, 40, 50, 60, 74, 75, 100, 111, 120, 148, 150, 167, 185, 200, 222, 296, 300, 334, 370, 444, 501, 555, 600, 668, 740, 835, 888, 925, 1002, 1110, 1336, 1480, 1670, 1850, 2004, 2220, 2505, 2775, 3340, 3700, 4008, 4175, 4440, 5010, 5550, 6179, 6680, 7400, 8350, 10020, 11100, 12358, 12525, 16700, 18537, 20040, 22200, 24716, 25050, 30895, 33400, 37074, 49432, 50100, 61790, 74148, 92685, 100200, 123580, 148296, 154475, 185370, 247160, 308950, 370740, 463425, 617900, 741480, 926850, 1235800, 1853700, 3707400
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.