Is 76,440 a Prime Number?
No, 76,440 is not a prime number
Number Properties
- Value:76,440
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:5
- Binary:10010101010011000
- Hexadecimal:12A98
Prime Status
76,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 72 × 13
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 49, 52, 56, 60, 65, 70, 78, 84, 91, 98, 104, 105, 120, 130, 140, 147, 156, 168, 182, 195, 196, 210, 245, 260, 273, 280, 294, 312, 364, 390, 392, 420, 455, 490, 520, 546, 588, 637, 728, 735, 780, 840, 910, 980, 1092, 1176, 1274, 1365, 1470, 1560, 1820, 1911, 1960, 2184, 2548, 2730, 2940, 3185, 3640, 3822, 5096, 5460, 5880, 6370, 7644, 9555, 10920, 12740, 15288, 19110, 25480, 38220, 76440
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.