Is 3,141,040 a Prime Number?
No, 3,141,040 is not a prime number
Number Properties
- Value:3,141,040
- Number Type:Even, Positive
- Digit Sum:13
- Total Digits:7
- Binary:1011111110110110110000
- Hexadecimal:2FEDB0
Prime Status
3,141,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 71 × 79
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 71, 79, 80, 112, 140, 142, 158, 280, 284, 316, 355, 395, 497, 553, 560, 568, 632, 710, 790, 994, 1106, 1136, 1264, 1420, 1580, 1988, 2212, 2485, 2765, 2840, 3160, 3976, 4424, 4970, 5530, 5609, 5680, 6320, 7952, 8848, 9940, 11060, 11218, 19880, 22120, 22436, 28045, 39263, 39760, 44240, 44872, 56090, 78526, 89744, 112180, 157052, 196315, 224360, 314104, 392630, 448720, 628208, 785260, 1570520, 3141040
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.