Is 3,713,940 a Prime Number?
No, 3,713,940 is not a prime number
Number Properties
- Value:3,713,940
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110001010101110010100
- Hexadecimal:38AB94
Prime Status
3,713,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 47 × 439
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 439, 470, 564, 705, 846, 878, 940, 1317, 1410, 1692, 1756, 2115, 2195, 2634, 2820, 3951, 4230, 4390, 5268, 6585, 7902, 8460, 8780, 13170, 15804, 19755, 20633, 26340, 39510, 41266, 61899, 79020, 82532, 103165, 123798, 185697, 206330, 247596, 309495, 371394, 412660, 618990, 742788, 928485, 1237980, 1856970, 3713940
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.