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The palindrome Fifty Five or 55 55 is the sum of the following five consecutive square numbers ( 1 + 4 + 9 + 16 + 25 )thus making it the fifth square pyramidal number [ formula : n(n+1)(2n+1)/6 ]
![]() 55 as a Cubic Invariant 53 + 53 = 250 23 + 53 + 03 = 133 13 + 33 + 33 = 55 ![]() 55 is the tenth Fibonacci number 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... ![]() 55 is the fourth palindromic triangular number 1, 3, 6, 55, 66, 171, ... ![]() 55 is the sum of the first ten numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 ![]() 55 is expressible as the sum of five consecutive integers 9 + 10 + 11 + 12 + 13 ![]() 55 is the sum of two consecutive numbers and powers Note that 67 12 equals 55 ! ![]() 55 is expressible as the sum of two consecutive integers 27 + 28 ![]() 55 is the fourth Kaprekar number
![]() 55 can be multiplied with 10 consecutive odd numbers from 91 to 109 and all the products will be palindromic ! Palindromes 5005 up to 5995. ( From Clifford A. Pickover, “Wonders of Numbers”, Chapter 57, p. 141 ) ![]() | ||||||
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