Is 1,367,964 a Prime Number?
No, 1,367,964 is not a prime number
Number Properties
- Value:1,367,964
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:101001101111110011100
- Hexadecimal:14DF9C
Prime Status
1,367,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 37 × 79
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 37, 39, 52, 74, 78, 79, 111, 117, 148, 156, 158, 222, 234, 237, 316, 333, 444, 468, 474, 481, 666, 711, 948, 962, 1027, 1332, 1422, 1443, 1924, 2054, 2844, 2886, 2923, 3081, 4108, 4329, 5772, 5846, 6162, 8658, 8769, 9243, 11692, 12324, 17316, 17538, 18486, 26307, 35076, 36972, 37999, 52614, 75998, 105228, 113997, 151996, 227994, 341991, 455988, 683982, 1367964
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.