Is 3,736,992 a Prime Number?
No, 3,736,992 is not a prime number
Number Properties
- Value:3,736,992
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1110010000010110100000
- Hexadecimal:3905A0
Prime Status
3,736,992 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 7 × 67 × 83
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 67, 83, 84, 96, 112, 134, 166, 168, 201, 224, 249, 268, 332, 336, 402, 469, 498, 536, 581, 664, 672, 804, 938, 996, 1072, 1162, 1328, 1407, 1608, 1743, 1876, 1992, 2144, 2324, 2656, 2814, 3216, 3486, 3752, 3984, 4648, 5561, 5628, 6432, 6972, 7504, 7968, 9296, 11122, 11256, 13944, 15008, 16683, 18592, 22244, 22512, 27888, 33366, 38927, 44488, 45024, 55776, 66732, 77854, 88976, 116781, 133464, 155708, 177952, 233562, 266928, 311416, 467124, 533856, 622832, 934248, 1245664, 1868496, 3736992
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.