Is 473,340 a Prime Number?
No, 473,340 is not a prime number
Number Properties
- Value:473,340
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:6
- Binary:1110011100011111100
- Hexadecimal:738FC
Prime Status
473,340 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 73 × 23
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 49, 60, 69, 70, 84, 92, 98, 105, 115, 138, 140, 147, 161, 196, 210, 230, 245, 276, 294, 322, 343, 345, 420, 460, 483, 490, 588, 644, 686, 690, 735, 805, 966, 980, 1029, 1127, 1372, 1380, 1470, 1610, 1715, 1932, 2058, 2254, 2415, 2940, 3220, 3381, 3430, 4116, 4508, 4830, 5145, 5635, 6762, 6860, 7889, 9660, 10290, 11270, 13524, 15778, 16905, 20580, 22540, 23667, 31556, 33810, 39445, 47334, 67620, 78890, 94668, 118335, 157780, 236670, 473340
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.