Numeric Palindromes (2024)

FAQs

Numeric Palindromes? ›

A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.

For example 285582 is a six digit palindrome.

The three digit palindromes are 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, . . . One could list all of the three digit palindromes to see how many there are, but a more general formula can be derived to find the number of k-digit palindromes, where k is any whole number greater than one.

∴ total such passowords =10×10×10×10=10000. Q.

A palindrome number is a number that remains the same when digits are reversed. For example, the number 12321 is a palindrome number, but 1451 is not a palindrome number.

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).

By using multiplication principle, there are 9×10×10×1×1=900 5-digit palindromic numbers.

The greatest four-digit palindrome is 9999.

It can be shown that "7449447" is the largest palindromic integer that can be formed. Example 2: Input: num = "00009" Output: "9" Explanation: It can be shown that "9" is the largest palindromic integer that can be formed.

How rare is an 8 digit palindrome date? ›

According to Aziz Inan, University of Portland's professor of engineering, "Eight-digit palindrome dates are very rare and are clustered in the first three or so centuries at the beginning of a millennial, and then don't show up for 600 to 700 years, until they appear as a cluster in the next millennium".

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99.

Note that December 2, 2021 is also an eight-digit palindrome date (12-02-2021). “The only two years in a century that contain 22 palindrome dates are the ones ending with 11 and 21,” says Dr. Inan. “The year 2011 had 22, and in the next century, they will be found in 2111 and 2121.”

Why? 73 is the 21st prime number. Its mirror (37) is the 12th and its mirror (21) is the product of multiplying 7 and 3. In binary, 73 is a palindrome, 1001001 which backwards is 1001001."

SHARE. They say that good things come in twos and on February 22^nd, 2022, it's a big day for the number two! When written out, 2/22/22, the date is considered a palindrome, which means it can be read both forward and backward. And it also falls on a Tuesday being deemed 'twos-day'.

Those upcoming palindrome dates will be: 22/3/22, 22/4/22, 22/5/22, 22/6/22, 22/7/22, 22/8/22, 22/9/22 and 22/11/22.

Such numbers are called Palindrome numbers. A palindromic number is a number that remains the same when its digits are reversed. If we take the original number and reverse it i.e. 121 and reverse it, we still get 121. We can say more examples like 11, 131, 242 etc which when we reverse we get the same number.

110 reversed is 11. 110 + 11 = 121, which is a palindrome. 1.

Other such palindrome days in this month are 11-1-11 (which is a repunit day), 11-2-11 (also a special one-of-a-kind palindrome day when written in full date format as 11-02-2011), 11-3-11, 11-4-11, 11-5-11, 11-6-11, 11-7-11, 11-8-11, 11-9-11, and 11-22-11.

The smallest palindrome for any digit is going to be 1 than the number of digits - 2 than 1. So in this case it would be since there are 6 digits, it will be 4 0s. So 100001. HOPE THIS HELPED!

Can all numbers eventually become palindromic? ›

The most number additions required by any base-10 integer less than 10,000 is 89, which requires 24 iterations to become 8813200023188 (a palindrome). The majority of integers below about 10¹⁸ do eventually become palindromes, however some of them seem to never become palindromic. These are called Lychrel numbers.

The longest known palindromic word is saippuakivikauppias (19 letters), which is Finnish for a dealer in lye (caustic soda). A palindrome is a word or phrase where the letters read backwards, give the same word or phrase, eg: the phrase 'Madam I'm Adam', with the reply 'Eve'.

10,911 reaches the palindrome 4668731596684224866951378664 (28 digits) after 55 steps.

To summarize, the only number that solves the puzzle is 2178. By a similar logic, we can find the six-digit number that when multiplied by 4 is equal to the original number with its digits in reverse order. Each of the intermediate carries must be 3, and so the number is 219978.

454 is a palindrome number.

Perhaps surprisingly, however, the longest palindrome in the English language was composed by a single person. Author Lawrence Levine wrote an experimental novel in the 1980s called Dr. Awkward & Olson in Oslo, which is a 31,594-word palindrome.

1001, 1111, 1221, 1331, etc. (number starting from one should always end with one). 2002, 2112, 2222, 2332, etc. Hence each 4 digit palindrome number is divisible by 11 as each number can be expressed as multiple of 11.

February 22 2022 is a palindromic date as it reads the same forwards as it does backwards 22/2/22. In the US, the date 22 February 2022 is also a palindrome and is written as 2/22/22. It's a rare occurrence when dates are palindromic in the US and the UK due to the difference in how they're written.

The longest palindrome in English is often considered tattarrattat, coined by James Joyce in his 1922 Ulysses to imitate the sound of a knock on the door.

Is 9 19 19 a palindrome? ›

The dates from 9/10/19 through 9/19/19 are all palindromes. But it's not that rare and it's not the last one this century.

The first known palindrome was written in Latin and dates back to Roman times. It read “sator arepo tenet opera rotas”, which could be translated two ways: “The sower Arepo leads with his hand the plough”. “The sower Arepo holds the wheels with effort”.

The rarest birthday of the 365 annual calendar days is Christmas day, Dec. 25. If your birthday is New Year's Day or Christmas Eve, you also have uncommon birthdays.

December 25 (Christmas Day) is the least common birthday, while January 1 (New Year's Day) is the second least common.

The term palindromic is derived from palindrome, which refers to a word (such as rotor or racecar) whose spelling is unchanged when its letters are reversed. The smallest 5-digit palindromic number will be, 10001.

505 , 17671 , 1894554981 these kind of mirror numbers are called as pallindrome numbers. What remains Is the place where the digit has to be filled in the exact middle and since the number required such that it's the smallest of all possiblities, we'll have to certainly put 0 at that place. 765 0 567.

It also becomes an ambigram as it is the same upside down! Dropping the slash marks from today's date, 22022022 it reads the same digitally. The below tweet shows us how it becomes both a palindrome and an ambigram. "Today is both a palindrome and an ambigram.

eg:- 1001,1111,1221,1331,1441,1551,1661,1771,1881,1991,2001,2002and so on....

The date, 8-18-18, is a palindrome, which is a a word, phrase or sequence that reads the same backward as forward. The owners of Three Brothers Bakery, Bobby and Janice Jucker, were married on a memorable date: 9-7-97.

So, we have 4*10*10*1*1*1 = 400 different 6 digit even palindromes.

How many palindromes of 6 letters are there? ›

The answer to your question is 17,576. There are 26 letters in the alphabet. Once you fill the first three spots the remaining three are forced.

The highest six-digit palindrome that is a multiple of six is 891198.

Every number greater than 99, and less than 1000 can be made into a 6 digit palindrome. Just mirror the digits. There are 900 such numbers.

For those fascinated with palindrome dates, Dr. Inan has calculated the palindrome dates for the 21st century. There are 26 seven-digit dates, and 12 eight-digit dates (in bold):

Therefore, 8778 is the largest four-digit palindrome divisible by 6.

Therefore, there are 17576 possible 7-letter palindromes.

The Longest Palindromic Word In English

The Oxford English Dictionary's longest is the 12-letter “tattarrattat,” which was coined by author James Joyce as an onomatopoeic term for the sound of someone knocking on a door.

Some top scoring 6 letter words with no repeating letters in scrabble are MUZJIK, QUEAZY, MUZHIK, QUACKY, QUEZAL, ZINCKY, FROWZY, SCHIZY, ZEPHYR, BLOWZY, SQUAWK, KLUTZY, QUIRKY. What is the longest word without repeating a letter? The longest words with no repeating letters are dermatoglyphics and uncopyrightable.

All palindromes with an even number of digits are divisible by 11.

A palindromic prime

{2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, ...}

Is 22 6 22 a palindrome? ›

Those upcoming palindrome dates will be: 22/3/22, 22/4/22, 22/5/22, 22/6/22, 22/7/22, 22/8/22, 22/9/22 and 22/11/22.

It can be shown that "7449447" is the largest palindromic integer that can be formed.

So, difference of (first digit + 3rd digit + 5th digit) & (2nd digit + 4th digit + 6th digit) is zero or multiple of 11. So, a palindrome number of even digits are always divisible by 11. The palindrome number which is divisible by 55 are 5abba5, a, b ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.