Is 3,504,672 a Prime Number?
No, 3,504,672 is not a prime number
Number Properties
- Value:3,504,672
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010111101000100000
- Hexadecimal:357A20
Prime Status
3,504,672 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 43 × 283
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 72, 86, 96, 129, 144, 172, 258, 283, 288, 344, 387, 516, 566, 688, 774, 849, 1032, 1132, 1376, 1548, 1698, 2064, 2264, 2547, 3096, 3396, 4128, 4528, 5094, 6192, 6792, 9056, 10188, 12169, 12384, 13584, 20376, 24338, 27168, 36507, 40752, 48676, 73014, 81504, 97352, 109521, 146028, 194704, 219042, 292056, 389408, 438084, 584112, 876168, 1168224, 1752336, 3504672
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.