Is 3,649,900 a Prime Number?
No, 3,649,900 is not a prime number
Number Properties
- Value:3,649,900
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101111011000101101100
- Hexadecimal:37B16C
Prime Status
3,649,900 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 52 × 17 × 19 × 113
Divisors
Total divisors: 72
1, 2, 4, 5, 10, 17, 19, 20, 25, 34, 38, 50, 68, 76, 85, 95, 100, 113, 170, 190, 226, 323, 340, 380, 425, 452, 475, 565, 646, 850, 950, 1130, 1292, 1615, 1700, 1900, 1921, 2147, 2260, 2825, 3230, 3842, 4294, 5650, 6460, 7684, 8075, 8588, 9605, 10735, 11300, 16150, 19210, 21470, 32300, 36499, 38420, 42940, 48025, 53675, 72998, 96050, 107350, 145996, 182495, 192100, 214700, 364990, 729980, 912475, 1824950, 3649900
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.