Is 1,006,460 a Prime Number?
No, 1,006,460 is not a prime number
Number Properties
- Value:1,006,460
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:11110101101101111100
- Hexadecimal:F5B7C
Prime Status
1,006,460 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 72 × 13 × 79
Divisors
Total divisors: 72
1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70, 79, 91, 98, 130, 140, 158, 182, 196, 245, 260, 316, 364, 395, 455, 490, 553, 637, 790, 910, 980, 1027, 1106, 1274, 1580, 1820, 2054, 2212, 2548, 2765, 3185, 3871, 4108, 5135, 5530, 6370, 7189, 7742, 10270, 11060, 12740, 14378, 15484, 19355, 20540, 28756, 35945, 38710, 50323, 71890, 77420, 100646, 143780, 201292, 251615, 503230, 1006460
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.