Is 3,674,988 a Prime Number?
No, 3,674,988 is not a prime number
Number Properties
- Value:3,674,988
- Number Type:Even, Positive
- Digit Sum:45
- Total Digits:7
- Binary:1110000001001101101100
- Hexadecimal:38136C
Prime Status
3,674,988 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 31 × 37 × 89
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 37, 62, 74, 89, 93, 111, 124, 148, 178, 186, 222, 267, 279, 333, 356, 372, 444, 534, 558, 666, 801, 1068, 1116, 1147, 1332, 1602, 2294, 2759, 3204, 3293, 3441, 4588, 5518, 6586, 6882, 8277, 9879, 10323, 11036, 13172, 13764, 16554, 19758, 20646, 24831, 29637, 33108, 39516, 41292, 49662, 59274, 99324, 102083, 118548, 204166, 306249, 408332, 612498, 918747, 1224996, 1837494, 3674988
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.