Is 3,477,738 a Prime Number?
No, 3,477,738 is not a prime number
Number Properties
- Value:3,477,738
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1101010001000011101010
- Hexadecimal:3510EA
Prime Status
3,477,738 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 11 × 23 × 29 × 79
Divisors
Total divisors: 64
1, 2, 3, 6, 11, 22, 23, 29, 33, 46, 58, 66, 69, 79, 87, 138, 158, 174, 237, 253, 319, 474, 506, 638, 667, 759, 869, 957, 1334, 1518, 1738, 1817, 1914, 2001, 2291, 2607, 3634, 4002, 4582, 5214, 5451, 6873, 7337, 10902, 13746, 14674, 19987, 22011, 25201, 39974, 44022, 50402, 52693, 59961, 75603, 105386, 119922, 151206, 158079, 316158, 579623, 1159246, 1738869, 3477738
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.