Is 3,609,720 a Prime Number?
No, 3,609,720 is not a prime number
Number Properties
- Value:3,609,720
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101110001010001111000
- Hexadecimal:371478
Prime Status
3,609,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 37 × 271
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 37, 40, 45, 60, 72, 74, 90, 111, 120, 148, 180, 185, 222, 271, 296, 333, 360, 370, 444, 542, 555, 666, 740, 813, 888, 1084, 1110, 1332, 1355, 1480, 1626, 1665, 2168, 2220, 2439, 2664, 2710, 3252, 3330, 4065, 4440, 4878, 5420, 6504, 6660, 8130, 9756, 10027, 10840, 12195, 13320, 16260, 19512, 20054, 24390, 30081, 32520, 40108, 48780, 50135, 60162, 80216, 90243, 97560, 100270, 120324, 150405, 180486, 200540, 240648, 300810, 360972, 401080, 451215, 601620, 721944, 902430, 1203240, 1804860, 3609720
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.