Is 3,488,004 a Prime Number?
No, 3,488,004 is not a prime number
Number Properties
- Value:3,488,004
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010011100100000100
- Hexadecimal:353904
Prime Status
3,488,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 29 × 257
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 29, 36, 39, 52, 58, 78, 87, 116, 117, 156, 174, 234, 257, 261, 348, 377, 468, 514, 522, 754, 771, 1028, 1044, 1131, 1508, 1542, 2262, 2313, 3084, 3341, 3393, 4524, 4626, 6682, 6786, 7453, 9252, 10023, 13364, 13572, 14906, 20046, 22359, 29812, 30069, 40092, 44718, 60138, 67077, 89436, 96889, 120276, 134154, 193778, 268308, 290667, 387556, 581334, 872001, 1162668, 1744002, 3488004
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.