Is 3,704,736 a Prime Number?
No, 3,704,736 is not a prime number
Number Properties
- Value:3,704,736
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1110001000011110100000
- Hexadecimal:3887A0
Prime Status
3,704,736 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 7 × 37 × 149
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 74, 84, 96, 111, 112, 148, 149, 168, 222, 224, 259, 296, 298, 336, 444, 447, 518, 592, 596, 672, 777, 888, 894, 1036, 1043, 1184, 1192, 1554, 1776, 1788, 2072, 2086, 2384, 3108, 3129, 3552, 3576, 4144, 4172, 4768, 5513, 6216, 6258, 7152, 8288, 8344, 11026, 12432, 12516, 14304, 16539, 16688, 22052, 24864, 25032, 33078, 33376, 38591, 44104, 50064, 66156, 77182, 88208, 100128, 115773, 132312, 154364, 176416, 231546, 264624, 308728, 463092, 529248, 617456, 926184, 1234912, 1852368, 3704736
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.