Is 2,511,264 a Prime Number?
No, 2,511,264 is not a prime number
Number Properties
- Value:2,511,264
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1001100101000110100000
- Hexadecimal:2651A0
Prime Status
2,511,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 7 × 37 × 101
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 74, 84, 96, 101, 111, 112, 148, 168, 202, 222, 224, 259, 296, 303, 336, 404, 444, 518, 592, 606, 672, 707, 777, 808, 888, 1036, 1184, 1212, 1414, 1554, 1616, 1776, 2072, 2121, 2424, 2828, 3108, 3232, 3552, 3737, 4144, 4242, 4848, 5656, 6216, 7474, 8288, 8484, 9696, 11211, 11312, 12432, 14948, 16968, 22422, 22624, 24864, 26159, 29896, 33936, 44844, 52318, 59792, 67872, 78477, 89688, 104636, 119584, 156954, 179376, 209272, 313908, 358752, 418544, 627816, 837088, 1255632, 2511264
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.