Is 3,740,478 a Prime Number?
No, 3,740,478 is not a prime number
Number Properties
- Value:3,740,478
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1110010001001100111110
- Hexadecimal:39133E
Prime Status
3,740,478 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 7 × 29 × 37 × 83
Divisors
Total divisors: 64
1, 2, 3, 6, 7, 14, 21, 29, 37, 42, 58, 74, 83, 87, 111, 166, 174, 203, 222, 249, 259, 406, 498, 518, 581, 609, 777, 1073, 1162, 1218, 1554, 1743, 2146, 2407, 3071, 3219, 3486, 4814, 6142, 6438, 7221, 7511, 9213, 14442, 15022, 16849, 18426, 21497, 22533, 33698, 42994, 45066, 50547, 64491, 89059, 101094, 128982, 178118, 267177, 534354, 623413, 1246826, 1870239, 3740478
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.