Fifty Five (55)
1. It is the sum of first 10 natural numbers.
1 + 2 + --+10 = 55
2. It is a triangular number. It is the first triangular number composed of repeated digits.
The other are 66 and 666.
3. It is the largest triangular number in Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…
4. The sum of squares of first five natural numbers is 55. The sum of squares of n natural number is given by --- 1^2 + 2^2 + 3^2 +---- + n^2 = n (n+1) (2n+1) /6
1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 55
5. It is a Palindromic number.
6. Every integer greater than 55 is the sum of distinct primes of the form 4n + 3.
7. The square of 55 shows an interesting pattern.
55^2 = 3025 and 30 + 25 = 55
8. It is the product of 3rd and 5th prime numbers.
55 = 5 x 11
9. Sum of 8 factors of 36 is 55.
1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 = 55
10. It is a square pyramidal number.
11. It is a centered nonagonal number.
12. It is a centered 18 - gonal number.
13. It is the 4th Kaprekar number.
14. It is a cubic recurring digital invariant. Add the cubes of its digits together and repeat the operation twice and you will get 55 back.
55 : 5^3 + 5^3 = 250
250: 2^3 + 5^3 + 0^3 = 133
133: 1^3 + 3^3 + 3^3 = 55
15. It is a heptagonal number. A polygonal number of the form of n(5n – 3 ) / 2 is called heptagonal number.
16. If you multiply any odd numbers from 91 to 109 by 55, you will get a palindrome number each time.
91 x 55 = 5005 93 x 55 = 5115
17. We all know
3^2 + 4 ^2 = 5^2
but 33^2 + 44^2 = 55^2
Dr Rajesh Kumar Thakur
1. It is the sum of first 10 natural numbers.
1 + 2 + --+10 = 55
2. It is a triangular number. It is the first triangular number composed of repeated digits.
The other are 66 and 666.
3. It is the largest triangular number in Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…
4. The sum of squares of first five natural numbers is 55. The sum of squares of n natural number is given by --- 1^2 + 2^2 + 3^2 +---- + n^2 = n (n+1) (2n+1) /6
1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 55
5. It is a Palindromic number.
6. Every integer greater than 55 is the sum of distinct primes of the form 4n + 3.
7. The square of 55 shows an interesting pattern.
55^2 = 3025 and 30 + 25 = 55
8. It is the product of 3rd and 5th prime numbers.
55 = 5 x 11
9. Sum of 8 factors of 36 is 55.
1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 = 55
10. It is a square pyramidal number.
11. It is a centered nonagonal number.
12. It is a centered 18 - gonal number.
13. It is the 4th Kaprekar number.
14. It is a cubic recurring digital invariant. Add the cubes of its digits together and repeat the operation twice and you will get 55 back.
55 : 5^3 + 5^3 = 250
250: 2^3 + 5^3 + 0^3 = 133
133: 1^3 + 3^3 + 3^3 = 55
15. It is a heptagonal number. A polygonal number of the form of n(5n – 3 ) / 2 is called heptagonal number.
16. If you multiply any odd numbers from 91 to 109 by 55, you will get a palindrome number each time.
91 x 55 = 5005 93 x 55 = 5115
17. We all know
3^2 + 4 ^2 = 5^2
but 33^2 + 44^2 = 55^2
Dr Rajesh Kumar Thakur
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