Is 4,140,040 a Prime Number?
No, 4,140,040 is not a prime number
Number Properties
- Value:4,140,040
- Number Type:Even, Positive
- Digit Sum:13
- Total Digits:7
- Binary:1111110010110000001000
- Hexadecimal:3F2C08
Prime Status
4,140,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 29 × 43 × 83
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 20, 29, 40, 43, 58, 83, 86, 116, 145, 166, 172, 215, 232, 290, 332, 344, 415, 430, 580, 664, 830, 860, 1160, 1247, 1660, 1720, 2407, 2494, 3320, 3569, 4814, 4988, 6235, 7138, 9628, 9976, 12035, 12470, 14276, 17845, 19256, 24070, 24940, 28552, 35690, 48140, 49880, 71380, 96280, 103501, 142760, 207002, 414004, 517505, 828008, 1035010, 2070020, 4140040
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.