Is 3,641,472 a Prime Number?
No, 3,641,472 is not a prime number
Number Properties
- Value:3,641,472
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101111001000010000000
- Hexadecimal:379080
Prime Status
3,641,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 32 × 29 × 109
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 109, 116, 128, 144, 174, 192, 218, 232, 261, 288, 327, 348, 384, 436, 464, 522, 576, 654, 696, 872, 928, 981, 1044, 1152, 1308, 1392, 1744, 1856, 1962, 2088, 2616, 2784, 3161, 3488, 3712, 3924, 4176, 5232, 5568, 6322, 6976, 7848, 8352, 9483, 10464, 11136, 12644, 13952, 15696, 16704, 18966, 20928, 25288, 28449, 31392, 33408, 37932, 41856, 50576, 56898, 62784, 75864, 101152, 113796, 125568, 151728, 202304, 227592, 303456, 404608, 455184, 606912, 910368, 1213824, 1820736, 3641472
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.