Is 3,627,240 a Prime Number?
No, 3,627,240 is not a prime number
Number Properties
- Value:3,627,240
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101110101100011101000
- Hexadecimal:3758E8
Prime Status
3,627,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 167 × 181
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 167, 181, 334, 362, 501, 543, 668, 724, 835, 905, 1002, 1086, 1336, 1448, 1670, 1810, 2004, 2172, 2505, 2715, 3340, 3620, 4008, 4344, 5010, 5430, 6680, 7240, 10020, 10860, 20040, 21720, 30227, 60454, 90681, 120908, 151135, 181362, 241816, 302270, 362724, 453405, 604540, 725448, 906810, 1209080, 1813620, 3627240
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.