# How deep is a vanity

## Understanding the Depth of Vanity Numbers

A vanity number is a phone number that is customized in a way that is easy to remember and spell, making it ideal for marketing and branding purposes. Vanity numbers can be a valuable asset to businesses, as they make it easy for customers to remember and contact them. The depth of a vanity number refers to the number of letters that can be represented by the corresponding phone number. The depth of a vanity number is determined by the number of digits in the phone number and the letters that can be represented by those digits.

## Depth of 7-Digit Vanity Numbers

7-digit vanity numbers can represent up to 3 letters per digit. For example, the number 1-800-FLOWERS has a depth of 21 (3 letters for each of the 7 digits). However, not all combinations of letters can be used in a 7-digit vanity number. Some numbers, such as 0 and 1, do not correspond to any letters, while other numbers, such as 2 and 9, have fewer corresponding letters than other digits. This limits the number of possible 7-digit vanity numbers that can be created with a given set of letters.

## Depth of 10-Digit Vanity Numbers

10-digit vanity numbers can represent up to 4 letters per digit. This provides a much greater depth than 7-digit numbers, allowing for more creative and memorable vanity numbers. For example, the number 1-888-NEW-CARS has a depth of 40 (4 letters for each of the 10 digits). With 10 digits to work with, a wider range of letters can be used, making it easier to create a memorable and brandable phone number.

In conclusion, the depth of a vanity number refers to the number of letters that can be represented by the corresponding phone number. The depth of a vanity number is determined by the number of digits in the phone number and the letters that can be represented by those digits. 7-digit vanity numbers can represent up to 3 letters per digit, while 10-digit vanity numbers can represent up to 4 letters per digit. This provides a greater depth for 10-digit numbers, allowing for more creative and memorable vanity numbers.