Is 3,474,978 a Prime Number?
No, 3,474,978 is not a prime number
Number Properties
- Value:3,474,978
- Number Type:Even, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1101010000011000100010
- Hexadecimal:350622
Prime Status
3,474,978 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 132 × 23 × 149
Divisors
Total divisors: 48
1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 149, 169, 298, 299, 338, 447, 507, 598, 894, 897, 1014, 1794, 1937, 3427, 3874, 3887, 5811, 6854, 7774, 10281, 11622, 11661, 20562, 23322, 25181, 44551, 50362, 75543, 89102, 133653, 151086, 267306, 579163, 1158326, 1737489, 3474978
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.