Is 748,748 a Prime Number?
No, 748,748 is not a prime number
Number Properties
- Value:748,748
- Number Type:Even, Positive
- Digit Sum:38
- Total Digits:6
- Binary:10110110110011001100
- Hexadecimal:B6CCC
Prime Status
748,748 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 112 × 13 × 17
Divisors
Total divisors: 72
1, 2, 4, 7, 11, 13, 14, 17, 22, 26, 28, 34, 44, 52, 68, 77, 91, 119, 121, 143, 154, 182, 187, 221, 238, 242, 286, 308, 364, 374, 442, 476, 484, 572, 748, 847, 884, 1001, 1309, 1547, 1573, 1694, 2002, 2057, 2431, 2618, 3094, 3146, 3388, 4004, 4114, 4862, 5236, 6188, 6292, 8228, 9724, 11011, 14399, 17017, 22022, 26741, 28798, 34034, 44044, 53482, 57596, 68068, 106964, 187187, 374374, 748748
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.