Is 967,120 a Prime Number?
No, 967,120 is not a prime number
Number Properties
- Value:967,120
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:6
- Binary:11101100000111010000
- Hexadecimal:EC1D0
Prime Status
967,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 11 × 157
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 157, 176, 220, 280, 308, 314, 385, 440, 560, 616, 628, 770, 785, 880, 1099, 1232, 1256, 1540, 1570, 1727, 2198, 2512, 3080, 3140, 3454, 4396, 5495, 6160, 6280, 6908, 8635, 8792, 10990, 12089, 12560, 13816, 17270, 17584, 21980, 24178, 27632, 34540, 43960, 48356, 60445, 69080, 87920, 96712, 120890, 138160, 193424, 241780, 483560, 967120
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.