Is 167,440 a Prime Number?
No, 167,440 is not a prime number
Number Properties
- Value:167,440
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:6
- Binary:101000111000010000
- Hexadecimal:28E10
Prime Status
167,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 13 × 23
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 23, 26, 28, 35, 40, 46, 52, 56, 65, 70, 80, 91, 92, 104, 112, 115, 130, 140, 161, 182, 184, 208, 230, 260, 280, 299, 322, 364, 368, 455, 460, 520, 560, 598, 644, 728, 805, 910, 920, 1040, 1196, 1288, 1456, 1495, 1610, 1820, 1840, 2093, 2392, 2576, 2990, 3220, 3640, 4186, 4784, 5980, 6440, 7280, 8372, 10465, 11960, 12880, 16744, 20930, 23920, 33488, 41860, 83720, 167440
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.