Is 478,040 a Prime Number?
No, 478,040 is not a prime number
Number Properties
- Value:478,040
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:6
- Binary:1110100101101011000
- Hexadecimal:74B58
Prime Status
478,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 17 × 19 × 37
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 17, 19, 20, 34, 37, 38, 40, 68, 74, 76, 85, 95, 136, 148, 152, 170, 185, 190, 296, 323, 340, 370, 380, 629, 646, 680, 703, 740, 760, 1258, 1292, 1406, 1480, 1615, 2516, 2584, 2812, 3145, 3230, 3515, 5032, 5624, 6290, 6460, 7030, 11951, 12580, 12920, 14060, 23902, 25160, 28120, 47804, 59755, 95608, 119510, 239020, 478040
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.