Is 4,048,740 a Prime Number?
No, 4,048,740 is not a prime number
Number Properties
- Value:4,048,740
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111011100011101100100
- Hexadecimal:3DC764
Prime Status
4,048,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 83 × 271
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 83, 90, 166, 180, 249, 271, 332, 415, 498, 542, 747, 813, 830, 996, 1084, 1245, 1355, 1494, 1626, 1660, 2439, 2490, 2710, 2988, 3252, 3735, 4065, 4878, 4980, 5420, 7470, 8130, 9756, 12195, 14940, 16260, 22493, 24390, 44986, 48780, 67479, 89972, 112465, 134958, 202437, 224930, 269916, 337395, 404874, 449860, 674790, 809748, 1012185, 1349580, 2024370, 4048740
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.