Is 967,920 a Prime Number?
No, 967,920 is not a prime number
Number Properties
- Value:967,920
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:6
- Binary:11101100010011110000
- Hexadecimal:EC4F0
Prime Status
967,920 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 37 × 109
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 109, 111, 120, 148, 185, 218, 222, 240, 296, 327, 370, 436, 444, 545, 555, 592, 654, 740, 872, 888, 1090, 1110, 1308, 1480, 1635, 1744, 1776, 2180, 2220, 2616, 2960, 3270, 4033, 4360, 4440, 5232, 6540, 8066, 8720, 8880, 12099, 13080, 16132, 20165, 24198, 26160, 32264, 40330, 48396, 60495, 64528, 80660, 96792, 120990, 161320, 193584, 241980, 322640, 483960, 967920
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.