Is 552,384 a Prime Number?
No, 552,384 is not a prime number
Number Properties
- Value:552,384
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:6
- Binary:10000110110111000000
- Hexadecimal:86DC0
Prime Status
552,384 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 32 × 7 × 137
Divisors
Total divisors: 84
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 137, 144, 168, 192, 224, 252, 274, 288, 336, 411, 448, 504, 548, 576, 672, 822, 959, 1008, 1096, 1233, 1344, 1644, 1918, 2016, 2192, 2466, 2877, 3288, 3836, 4032, 4384, 4932, 5754, 6576, 7672, 8631, 8768, 9864, 11508, 13152, 15344, 17262, 19728, 23016, 26304, 30688, 34524, 39456, 46032, 61376, 69048, 78912, 92064, 138096, 184128, 276192, 552384
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.