Is 961,408 a Prime Number?
No, 961,408 is not a prime number
Number Properties
- Value:961,408
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:6
- Binary:11101010101110000000
- Hexadecimal:EAB80
Prime Status
961,408 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 7 × 29 × 37
Divisors
Total divisors: 64
1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 37, 56, 58, 64, 74, 112, 116, 128, 148, 203, 224, 232, 259, 296, 406, 448, 464, 518, 592, 812, 896, 928, 1036, 1073, 1184, 1624, 1856, 2072, 2146, 2368, 3248, 3712, 4144, 4292, 4736, 6496, 7511, 8288, 8584, 12992, 15022, 16576, 17168, 25984, 30044, 33152, 34336, 60088, 68672, 120176, 137344, 240352, 480704, 961408
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.