Is 3,465,748 a Prime Number?
No, 3,465,748 is not a prime number
Number Properties
- Value:3,465,748
- Number Type:Even, Positive
- Digit Sum:37
- Total Digits:7
- Binary:1101001110001000010100
- Hexadecimal:34E214
Prime Status
3,465,748 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 11 × 13 × 73 × 83
Divisors
Total divisors: 48
1, 2, 4, 11, 13, 22, 26, 44, 52, 73, 83, 143, 146, 166, 286, 292, 332, 572, 803, 913, 949, 1079, 1606, 1826, 1898, 2158, 3212, 3652, 3796, 4316, 6059, 10439, 11869, 12118, 20878, 23738, 24236, 41756, 47476, 66649, 78767, 133298, 157534, 266596, 315068, 866437, 1732874, 3465748
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.