How many palindromes are there less than 10000?
Table of Contents
- 1 How many palindromes are there less than 10000?
- 2 What is the number of palindromes between 10 and 100000?
- 3 How many palindromic numbers are there between 100 and 1000?
- 4 How many palindromic numbers are there between 100 and 300?
- 5 How many palindromic numbers are there between 1000 and 9999?
- 6 How many palindromic numbers are there with two or three digits?
- 7 What is the number of palindromes of Type X?
How many palindromes are there less than 10000?
249 integers
There are 249 integers less than 10,000 for which no palindrome can be found in 100 steps or less. (McGinty and Eisenberg, 1978). Some numbers require only one addition to arrive at a palindrome, for example, 12: 12 + 21 = 33, and some numbers require many more additions.
How many palindromic numbers are there up to 100?
first
The first 30 palindromic numbers (in decimal) are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, … (sequence A002113 in the OEIS). Palindromic numbers receive most attention in the realm of recreational mathematics.
What is the number of palindromes between 10 and 100000?
The answer is 90. The range of numbers to consider is 101 to 999.
How many palindromic are there less than one million?
You get a palindrome. So there are 999 palindromes of even length smaller than 1000000.
How many palindromic numbers are there between 100 and 1000?
Simply multiply by 9 to find palindromes between 100 and 1000. There are integral palindromes. Third Digit: 1 choice (because for a 3 digit palindrome, the last digit must always equal the first one). So the number of possible palindromes between 100 and 1000 is 9x10x1 = 90.
How many palindromes are there that are less than 1000?
16 palindrome primes
Examining the palindromes in this list: 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, and 929, we see there are 16 palindrome primes less than 1000.
How many palindromic numbers are there between 100 and 300?
So 101, 111, 121, . . . , 191, giving 10 palindromes. Similarly there are another 10 from 200 to 299, and 300 is not one. In total there are 20, hence (20).
How many palindromes are there between 1000 and 100000?
Percentage
| Number of digits | Range of numbers | Cumulative palindromic numbers |
|---|---|---|
| 3 | 100-999 | 109 |
| 4 | 1000-9999 | 199 |
| 5 | 10000-99999 | 1099 |
| 6 | 100000-999999 | 1999 |
How many palindromic numbers 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 many possible palindromes are there between 100 and 1000?
Third Digit: 1 choice (because for a 3 digit palindrome, the last digit must always equal the first one). So the number of possible palindromes between 100 and 1000 is 9x10x1 = 90.
How many palindromic numbers are there with two or three digits?
There are 9 palindromic numbers with two digits: {11, 22, 33, 44, 55, 66, 77, 88, 99}. 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):
How do you convert non-palindromic numbers to palindrome?
First, the non-palindromic number is reversed and the result is added to the original number. If the result is not a palindromic number, this is repeated until it gives a palindromic number. Such number is called “a delayed palindrome”. It is not known whether all non-palindromic numbers can be paired with palindromic numbers in this way.
What is the number of palindromes of Type X?
Now, since 1, 000, 000 is itself not a palindrome, so we consider integers till only 6 digits. To find number of palindromes of type x is easy, its 9.