VAMPIRE NUMBERS

Vampire numbers are a class of integers that have a peculiar property. A vampire number is an integer that can be expressed as the product of two integers, where the two integers have the same number of digits and, when multiplied, the product has the same digits as the two original integers, but in a different order.

Examples of vampire numbers

Some examples of vampire numbers are:

- 1260 = 21 × 60
- 1395 = 15 × 93
- 1435 = 35 × 41
- 1530 = 30 × 51
- 1827 = 27 × 67

Properties of vampire numbers

Vampire numbers have some interesting properties:

- Vampire numbers always have an even number of digits.
- Vampire numbers can always be expressed as the product of two integers with the same number of digits.
- Vampire numbers always have the same digits as the two original integers, but in a different order.

History of vampire numbers

The concept of vampire numbers was first introduced by American mathematician Clifford Pickover in the 1990s. Pickover defined vampire numbers as integers that can be expressed as the product of two integers with the same number of digits and that have the same digits as the two original integers, but in a different order.

Applications of vampire numbers

Vampire numbers have some interesting applications in mathematics and computer science, such as:

- The generation of random numbers with specific properties.
- The creation of codes and figures based on vampire numbers.
- Solving problems of factorization and multiplication of integers.