Is 2,739,210 a Prime Number?
No, 2,739,210 is not a prime number
Number Properties
- Value:2,739,210
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1010011100110000001010
- Hexadecimal:29CC0A
Prime Status
2,739,210 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 17 × 41 × 131
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 41, 51, 82, 85, 102, 123, 131, 170, 205, 246, 255, 262, 393, 410, 510, 615, 655, 697, 786, 1230, 1310, 1394, 1965, 2091, 2227, 3485, 3930, 4182, 4454, 5371, 6681, 6970, 10455, 10742, 11135, 13362, 16113, 20910, 22270, 26855, 32226, 33405, 53710, 66810, 80565, 91307, 161130, 182614, 273921, 456535, 547842, 913070, 1369605, 2739210
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.