Is 131,376 a Prime Number?
No, 131,376 is not a prime number
Number Properties
- Value:131,376
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:6
- Binary:100000000100110000
- Hexadecimal:20130
Prime Status
131,376 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 17 × 23
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 23, 24, 28, 34, 42, 46, 48, 51, 56, 68, 69, 84, 92, 102, 112, 119, 136, 138, 161, 168, 184, 204, 238, 272, 276, 322, 336, 357, 368, 391, 408, 476, 483, 552, 644, 714, 782, 816, 952, 966, 1104, 1173, 1288, 1428, 1564, 1904, 1932, 2346, 2576, 2737, 2856, 3128, 3864, 4692, 5474, 5712, 6256, 7728, 8211, 9384, 10948, 16422, 18768, 21896, 32844, 43792, 65688, 131376
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.