Is 3,137,472 a Prime Number?
No, 3,137,472 is not a prime number
Number Properties
- Value:3,137,472
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1011111101111111000000
- Hexadecimal:2FDFC0
Prime Status
3,137,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 32 × 13 × 419
Divisors
Total divisors: 84
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 419, 468, 576, 624, 832, 838, 936, 1248, 1257, 1676, 1872, 2496, 2514, 3352, 3744, 3771, 5028, 5447, 6704, 7488, 7542, 10056, 10894, 13408, 15084, 16341, 20112, 21788, 26816, 30168, 32682, 40224, 43576, 49023, 60336, 65364, 80448, 87152, 98046, 120672, 130728, 174304, 196092, 241344, 261456, 348608, 392184, 522912, 784368, 1045824, 1568736, 3137472
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.