Is 3,617,120 a Prime Number?
No, 3,617,120 is not a prime number
Number Properties
- Value:3,617,120
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1101110011000101100000
- Hexadecimal:373160
Prime Status
3,617,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 13 × 37 × 47
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 37, 40, 47, 52, 65, 74, 80, 94, 104, 130, 148, 160, 185, 188, 208, 235, 260, 296, 370, 376, 416, 470, 481, 520, 592, 611, 740, 752, 940, 962, 1040, 1184, 1222, 1480, 1504, 1739, 1880, 1924, 2080, 2405, 2444, 2960, 3055, 3478, 3760, 3848, 4810, 4888, 5920, 6110, 6956, 7520, 7696, 8695, 9620, 9776, 12220, 13912, 15392, 17390, 19240, 19552, 22607, 24440, 27824, 34780, 38480, 45214, 48880, 55648, 69560, 76960, 90428, 97760, 113035, 139120, 180856, 226070, 278240, 361712, 452140, 723424, 904280, 1808560, 3617120
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.