Is 3,488,352 a Prime Number?
No, 3,488,352 is not a prime number
Number Properties
- Value:3,488,352
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101010011101001100000
- Hexadecimal:353A60
Prime Status
3,488,352 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 7 × 29 × 179
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 32, 42, 48, 56, 58, 84, 87, 96, 112, 116, 168, 174, 179, 203, 224, 232, 336, 348, 358, 406, 464, 537, 609, 672, 696, 716, 812, 928, 1074, 1218, 1253, 1392, 1432, 1624, 2148, 2436, 2506, 2784, 2864, 3248, 3759, 4296, 4872, 5012, 5191, 5728, 6496, 7518, 8592, 9744, 10024, 10382, 15036, 15573, 17184, 19488, 20048, 20764, 30072, 31146, 36337, 40096, 41528, 60144, 62292, 72674, 83056, 109011, 120288, 124584, 145348, 166112, 218022, 249168, 290696, 436044, 498336, 581392, 872088, 1162784, 1744176, 3488352
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.