Is 3,742,960 a Prime Number?
No, 3,742,960 is not a prime number
Number Properties
- Value:3,742,960
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1110010001110011110000
- Hexadecimal:391CF0
Prime Status
3,742,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 13 × 59 × 61
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 59, 61, 65, 80, 104, 118, 122, 130, 208, 236, 244, 260, 295, 305, 472, 488, 520, 590, 610, 767, 793, 944, 976, 1040, 1180, 1220, 1534, 1586, 2360, 2440, 3068, 3172, 3599, 3835, 3965, 4720, 4880, 6136, 6344, 7198, 7670, 7930, 12272, 12688, 14396, 15340, 15860, 17995, 28792, 30680, 31720, 35990, 46787, 57584, 61360, 63440, 71980, 93574, 143960, 187148, 233935, 287920, 374296, 467870, 748592, 935740, 1871480, 3742960
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.