Is 4,042,272 a Prime Number?
No, 4,042,272 is not a prime number
Number Properties
- Value:4,042,272
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111011010111000100000
- Hexadecimal:3DAE20
Prime Status
4,042,272 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 13 × 41 × 79
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 41, 48, 52, 78, 79, 82, 96, 104, 123, 156, 158, 164, 208, 237, 246, 312, 316, 328, 416, 474, 492, 533, 624, 632, 656, 948, 984, 1027, 1066, 1248, 1264, 1312, 1599, 1896, 1968, 2054, 2132, 2528, 3081, 3198, 3239, 3792, 3936, 4108, 4264, 6162, 6396, 6478, 7584, 8216, 8528, 9717, 12324, 12792, 12956, 16432, 17056, 19434, 24648, 25584, 25912, 32864, 38868, 42107, 49296, 51168, 51824, 77736, 84214, 98592, 103648, 126321, 155472, 168428, 252642, 310944, 336856, 505284, 673712, 1010568, 1347424, 2021136, 4042272
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.