Is 3,744,090 a Prime Number?
No, 3,744,090 is not a prime number
Number Properties
- Value:3,744,090
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110010010000101011010
- Hexadecimal:39215A
Prime Status
3,744,090 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 72 × 283
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 283, 294, 315, 378, 441, 490, 566, 630, 735, 849, 882, 945, 1323, 1415, 1470, 1698, 1890, 1981, 2205, 2547, 2646, 2830, 3962, 4245, 4410, 5094, 5943, 6615, 7641, 8490, 9905, 11886, 12735, 13230, 13867, 15282, 17829, 19810, 25470, 27734, 29715, 35658, 38205, 41601, 53487, 59430, 69335, 76410, 83202, 89145, 106974, 124803, 138670, 178290, 208005, 249606, 267435, 374409, 416010, 534870, 624015, 748818, 1248030, 1872045, 3744090
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.