Is 4,377,204 a Prime Number?
No, 4,377,204 is not a prime number
Number Properties
- Value:4,377,204
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:10000101100101001110100
- Hexadecimal:42CA74
Prime Status
4,377,204 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 47 × 199
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 47, 52, 78, 94, 117, 141, 156, 188, 199, 234, 282, 398, 423, 468, 564, 597, 611, 796, 846, 1194, 1222, 1692, 1791, 1833, 2388, 2444, 2587, 3582, 3666, 5174, 5499, 7164, 7332, 7761, 9353, 10348, 10998, 15522, 18706, 21996, 23283, 28059, 31044, 37412, 46566, 56118, 84177, 93132, 112236, 121589, 168354, 243178, 336708, 364767, 486356, 729534, 1094301, 1459068, 2188602, 4377204
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.