Is 1,431,120 a Prime Number?
No, 1,431,120 is not a prime number
Number Properties
- Value:1,431,120
- Number Type:Even, Positive
- Digit Sum:12
- Total Digits:7
- Binary:101011101011001010000
- Hexadecimal:15D650
Prime Status
1,431,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 67 × 89
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 67, 80, 89, 120, 134, 178, 201, 240, 267, 268, 335, 356, 402, 445, 534, 536, 670, 712, 804, 890, 1005, 1068, 1072, 1335, 1340, 1424, 1608, 1780, 2010, 2136, 2670, 2680, 3216, 3560, 4020, 4272, 5340, 5360, 5963, 7120, 8040, 10680, 11926, 16080, 17889, 21360, 23852, 29815, 35778, 47704, 59630, 71556, 89445, 95408, 119260, 143112, 178890, 238520, 286224, 357780, 477040, 715560, 1431120
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.