Is 1,364,475 a Prime Number?
No, 1,364,475 is not a prime number
Number Properties
- Value:1,364,475
- Number Type:Odd, Positive
- Digit Sum:30
- Total Digits:7
- Binary:101001101000111111011
- Hexadecimal:14D1FB
Prime Status
1,364,475 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 52 × 7 × 23 × 113
Divisors
Total divisors: 48
1, 3, 5, 7, 15, 21, 23, 25, 35, 69, 75, 105, 113, 115, 161, 175, 339, 345, 483, 525, 565, 575, 791, 805, 1695, 1725, 2373, 2415, 2599, 2825, 3955, 4025, 7797, 8475, 11865, 12075, 12995, 18193, 19775, 38985, 54579, 59325, 64975, 90965, 194925, 272895, 454825, 1364475
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.