Is 3,974,490 a Prime Number?
No, 3,974,490 is not a prime number
Number Properties
- Value:3,974,490
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1111001010010101011010
- Hexadecimal:3CA55A
Prime Status
3,974,490 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 13 × 43 × 79
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 43, 45, 65, 78, 79, 86, 90, 117, 129, 130, 158, 195, 215, 234, 237, 258, 387, 390, 395, 430, 474, 559, 585, 645, 711, 774, 790, 1027, 1118, 1170, 1185, 1290, 1422, 1677, 1935, 2054, 2370, 2795, 3081, 3354, 3397, 3555, 3870, 5031, 5135, 5590, 6162, 6794, 7110, 8385, 9243, 10062, 10191, 10270, 15405, 16770, 16985, 18486, 20382, 25155, 30573, 30810, 33970, 44161, 46215, 50310, 50955, 61146, 88322, 92430, 101910, 132483, 152865, 220805, 264966, 305730, 397449, 441610, 662415, 794898, 1324830, 1987245, 3974490
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.