Is 1,007,460 a Prime Number?
No, 1,007,460 is not a prime number
Number Properties
- Value:1,007,460
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:11110101111101100100
- Hexadecimal:F5F64
Prime Status
1,007,460 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 29 × 193
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 193, 261, 290, 348, 386, 435, 522, 579, 580, 772, 870, 965, 1044, 1158, 1305, 1737, 1740, 1930, 2316, 2610, 2895, 3474, 3860, 5220, 5597, 5790, 6948, 8685, 11194, 11580, 16791, 17370, 22388, 27985, 33582, 34740, 50373, 55970, 67164, 83955, 100746, 111940, 167910, 201492, 251865, 335820, 503730, 1007460
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.