Is 3,713,248 a Prime Number?
No, 3,713,248 is not a prime number
Number Properties
- Value:3,713,248
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1110001010100011100000
- Hexadecimal:38A8E0
Prime Status
3,713,248 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 112 × 137
Divisors
Total divisors: 72
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 121, 137, 154, 176, 224, 242, 274, 308, 352, 484, 548, 616, 847, 959, 968, 1096, 1232, 1507, 1694, 1918, 1936, 2192, 2464, 3014, 3388, 3836, 3872, 4384, 6028, 6776, 7672, 10549, 12056, 13552, 15344, 16577, 21098, 24112, 27104, 30688, 33154, 42196, 48224, 66308, 84392, 116039, 132616, 168784, 232078, 265232, 337568, 464156, 530464, 928312, 1856624, 3713248
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.