Is 1,407,480 a Prime Number?
No, 1,407,480 is not a prime number
Number Properties
- Value:1,407,480
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:101010111100111111000
- Hexadecimal:1579F8
Prime Status
1,407,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 37 × 317
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 317, 370, 444, 555, 634, 740, 888, 951, 1110, 1268, 1480, 1585, 1902, 2220, 2536, 3170, 3804, 4440, 4755, 6340, 7608, 9510, 11729, 12680, 19020, 23458, 35187, 38040, 46916, 58645, 70374, 93832, 117290, 140748, 175935, 234580, 281496, 351870, 469160, 703740, 1407480
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.