Is 1,331,424 a Prime Number?
No, 1,331,424 is not a prime number
Number Properties
- Value:1,331,424
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:101000101000011100000
- Hexadecimal:1450E0
Prime Status
1,331,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 33 × 23 × 67
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 32, 36, 46, 48, 54, 67, 69, 72, 92, 96, 108, 134, 138, 144, 184, 201, 207, 216, 268, 276, 288, 368, 402, 414, 432, 536, 552, 603, 621, 736, 804, 828, 864, 1072, 1104, 1206, 1242, 1541, 1608, 1656, 1809, 2144, 2208, 2412, 2484, 3082, 3216, 3312, 3618, 4623, 4824, 4968, 6164, 6432, 6624, 7236, 9246, 9648, 9936, 12328, 13869, 14472, 18492, 19296, 19872, 24656, 27738, 28944, 36984, 41607, 49312, 55476, 57888, 73968, 83214, 110952, 147936, 166428, 221904, 332856, 443808, 665712, 1331424
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.