Is 3,478,475 a Prime Number?
No, 3,478,475 is not a prime number
Number Properties
- Value:3,478,475
- Number Type:Odd, Positive
- Digit Sum:38
- Total Digits:7
- Binary:1101010001001111001011
- Hexadecimal:3513CB
Prime Status
3,478,475 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
52 × 7 × 11 × 13 × 139
Divisors
Total divisors: 48
1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 139, 143, 175, 275, 325, 385, 455, 695, 715, 973, 1001, 1529, 1807, 1925, 2275, 3475, 3575, 4865, 5005, 7645, 9035, 10703, 12649, 19877, 24325, 25025, 38225, 45175, 53515, 63245, 99385, 139139, 267575, 316225, 496925, 695695, 3478475
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.