Is 3,744,624 a Prime Number?
No, 3,744,624 is not a prime number
Number Properties
- Value:3,744,624
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1110010010001101110000
- Hexadecimal:392370
Prime Status
3,744,624 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 13 × 17 × 353
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 34, 39, 48, 51, 52, 68, 78, 102, 104, 136, 156, 204, 208, 221, 272, 312, 353, 408, 442, 624, 663, 706, 816, 884, 1059, 1326, 1412, 1768, 2118, 2652, 2824, 3536, 4236, 4589, 5304, 5648, 6001, 8472, 9178, 10608, 12002, 13767, 16944, 18003, 18356, 24004, 27534, 36006, 36712, 48008, 55068, 72012, 73424, 78013, 96016, 110136, 144024, 156026, 220272, 234039, 288048, 312052, 468078, 624104, 936156, 1248208, 1872312, 3744624
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.