Is 1,357,824 a Prime Number?
No, 1,357,824 is not a prime number
Number Properties
- Value:1,357,824
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:101001011100000000000
- Hexadecimal:14B800
Prime Status
1,357,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
211 × 3 × 13 × 17
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 128, 136, 156, 192, 204, 208, 221, 256, 272, 312, 384, 408, 416, 442, 512, 544, 624, 663, 768, 816, 832, 884, 1024, 1088, 1248, 1326, 1536, 1632, 1664, 1768, 2048, 2176, 2496, 2652, 3072, 3264, 3328, 3536, 4352, 4992, 5304, 6144, 6528, 6656, 7072, 8704, 9984, 10608, 13056, 13312, 14144, 17408, 19968, 21216, 26112, 26624, 28288, 34816, 39936, 42432, 52224, 56576, 79872, 84864, 104448, 113152, 169728, 226304, 339456, 452608, 678912, 1357824
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.