Is 1,508,040 a Prime Number?
No, 1,508,040 is not a prime number
Number Properties
- Value:1,508,040
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:101110000001011001000
- Hexadecimal:1702C8
Prime Status
1,508,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 59 × 71
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 59, 60, 71, 72, 90, 118, 120, 142, 177, 180, 213, 236, 284, 295, 354, 355, 360, 426, 472, 531, 568, 590, 639, 708, 710, 852, 885, 1062, 1065, 1180, 1278, 1416, 1420, 1704, 1770, 2124, 2130, 2360, 2556, 2655, 2840, 3195, 3540, 4189, 4248, 4260, 5112, 5310, 6390, 7080, 8378, 8520, 10620, 12567, 12780, 16756, 20945, 21240, 25134, 25560, 33512, 37701, 41890, 50268, 62835, 75402, 83780, 100536, 125670, 150804, 167560, 188505, 251340, 301608, 377010, 502680, 754020, 1508040
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.