Is 3,474,072 a Prime Number?
No, 3,474,072 is not a prime number
Number Properties
- Value:3,474,072
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010000001010011000
- Hexadecimal:350298
Prime Status
3,474,072 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 7 × 61 × 113
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 61, 63, 72, 84, 113, 122, 126, 168, 183, 226, 244, 252, 339, 366, 427, 452, 488, 504, 549, 678, 732, 791, 854, 904, 1017, 1098, 1281, 1356, 1464, 1582, 1708, 2034, 2196, 2373, 2562, 2712, 3164, 3416, 3843, 4068, 4392, 4746, 5124, 6328, 6893, 7119, 7686, 8136, 9492, 10248, 13786, 14238, 15372, 18984, 20679, 27572, 28476, 30744, 41358, 48251, 55144, 56952, 62037, 82716, 96502, 124074, 144753, 165432, 193004, 248148, 289506, 386008, 434259, 496296, 579012, 868518, 1158024, 1737036, 3474072
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.