Table of Contents

- 1 How many 3 digit palindromes are there?
- 2 What is a 3 step palindrome?
- 3 How many palindromes are there between 1000 and 9999?
- 4 How many palindromes are there between 4000 and 83000?
- 5 What is the palindrome of 89?
- 6 How do you solve a palindrome problem?
- 7 Can you write any number as a sum of three palindromes?
- 8 Which is an example of a palindromic number?

## How many 3 digit palindromes are there?

90 palindromic

There are 90 palindromic numbers with three digits (Using the Rule of product: 9 choices for the first digit – which determines the third digit as well – multiplied by 10 choices for the second digit): {101, 111, 121, 131, 141, 151, 161, 171, 181, 191, …, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999}

**What is a 3 digit palindromes?**

The three digit palindromes are 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, . . . Clearly, the two outside digits (the first and the last digits) must be the same number and can be any of the digits 1 through 9.

### What is a 3 step palindrome?

Two-step palindromes occur if S = 10,12, or 13; three-step palindrome occur if S = 14, and four-step if S = 15. Extension: 1. a) The numbers 77, 88, 99 are zero-step palindromes. The numbers 8, 9, 17, 18, 27, 29, 38, 47, predict that 80, 90, 71, 81, 72, 92, 83, 74 will be one-step palindromes, as is the number 100.

**What is the probability of getting 3 digit palindromes?**

Using the chance of the event (a 3 digit palindrome) / the number of possible 3 digit numbers we get the probability. So, 90/900. 90/900 can be simplified to 1/10. Therefore, A is 1/10.

#### How many palindromes are there between 1000 and 9999?

Percentage

Number of digits | Range of numbers | Cumulative palindromic numbers |
---|---|---|

1 | 0-9 | 10 |

2 | 10-99 | 19 |

3 | 100-999 | 109 |

4 | 1000-9999 | 199 |

**How do you find a palindrome number?**

Palindrome number algorithm

- Get the number to check for palindrome.
- Hold the number in temporary variable.
- Reverse the number.
- Compare the temporary number with reversed number.
- If both numbers are same, print “palindrome number”
- Else print “not palindrome number”

## How many palindromes are there between 4000 and 83000?

>>>790 palindromes are there.

**What is a palindrome of 89?**

89 takes an unusually large 24 iterations (the most of any number under 10,000 that is known to resolve into a palindrome) to reach the palindrome 8,813,200,023,188. 10,911 reaches the palindrome 4668731596684224866951378664 (28 digits) after 55 steps.

### What is the palindrome of 89?

8,813,200,023,188

89 takes an unusually large 24 iterations (the most of any number under 10,000 that is known to resolve into a palindrome) to reach the palindrome 8,813,200,023,188. 10,911 reaches the palindrome 4668731596684224866951378664 (28 digits) after 55 steps.

**What are some palindrome words?**

Some examples of palindromic words are redivider, deified, civic, radar, level, rotor, kayak, reviver, racecar, madam, and refer.

#### How do you solve a palindrome problem?

**What are the palindromes between 10000 and 99999?**

Percentage

Number of digits | Range of numbers | Cumulative palindromic numbers |
---|---|---|

2 | 10-99 | 19 |

3 | 100-999 | 109 |

4 | 1000-9999 | 199 |

5 | 10000-99999 | 1099 |

## Can you write any number as a sum of three palindromes?

I can write any positive number as a sum of three palindromes. whole number bigger than zero. Don’t believe me? AMAZED! INCREDIBLE! It really does work for any number – scroll back up and try another one.

**How big is a 3 digit prime palindrome?**

Any 3 digit palindrome number is of type “aba” where b can be chosen from the numbers 0 to 9 and a can be chosen from 1 to 9. So the totality of these type of numbers are 10×9=90.

### Which is an example of a palindromic number?

A palindromic number is one that is the same when the digits are reversed, for example 18381. All numbers turn out to be palindromes in some number base. We look at sequences of Palindromes and find a surprisingly small number of palindromes are needed to make a sum for any given number (in a given base).

**Is the number 21 a palindrome in base 10?**

Whether a number is a palindrome or not depends on which base it is represented in but all numbers are palindromic in some base. For example 21 is not a palindrome in base 10, but it is in base 2: 21 = 101012.