Is 3,731,070 a Prime Number?
No, 3,731,070 is not a prime number
Number Properties
- Value:3,731,070
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1110001110111001111110
- Hexadecimal:38EE7E
Prime Status
3,731,070 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 7 × 109 × 163
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 109, 163, 210, 218, 326, 327, 489, 545, 654, 763, 815, 978, 1090, 1141, 1526, 1630, 1635, 2282, 2289, 2445, 3270, 3423, 3815, 4578, 4890, 5705, 6846, 7630, 11410, 11445, 17115, 17767, 22890, 34230, 35534, 53301, 88835, 106602, 124369, 177670, 248738, 266505, 373107, 533010, 621845, 746214, 1243690, 1865535, 3731070
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.