Is 401,472 a Prime Number?
No, 401,472 is not a prime number
Number Properties
- Value:401,472
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1100010000001000000
- Hexadecimal:62040
Prime Status
401,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 32 × 17 × 41
Divisors
Total divisors: 84
1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 41, 48, 51, 64, 68, 72, 82, 96, 102, 123, 136, 144, 153, 164, 192, 204, 246, 272, 288, 306, 328, 369, 408, 492, 544, 576, 612, 656, 697, 738, 816, 984, 1088, 1224, 1312, 1394, 1476, 1632, 1968, 2091, 2448, 2624, 2788, 2952, 3264, 3936, 4182, 4896, 5576, 5904, 6273, 7872, 8364, 9792, 11152, 11808, 12546, 16728, 22304, 23616, 25092, 33456, 44608, 50184, 66912, 100368, 133824, 200736, 401472
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.