Is 4,977,504 a Prime Number?
No, 4,977,504 is not a prime number
Number Properties
- Value:4,977,504
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10010111111001101100000
- Hexadecimal:4BF360
Prime Status
4,977,504 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 33 × 7 × 823
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 823, 864, 1008, 1512, 1646, 2016, 2469, 3024, 3292, 4938, 5761, 6048, 6584, 7407, 9876, 11522, 13168, 14814, 17283, 19752, 22221, 23044, 26336, 29628, 34566, 39504, 44442, 46088, 51849, 59256, 69132, 79008, 88884, 92176, 103698, 118512, 138264, 155547, 177768, 184352, 207396, 237024, 276528, 311094, 355536, 414792, 553056, 622188, 711072, 829584, 1244376, 1659168, 2488752, 4977504
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.