Is 10 a narcissistic number?

Is 10 a narcissistic number?

th powers of their digits (a finite sequence) are called Armstrong numbers or plus perfect number and are given by 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407, 1634, 8208, 9474, 54748, (OEIS A005188)….Narcissistic Number.

What is a narcissistic number example?

Narcissistic Numbers are defined as follows: An n digit number is narcissistic if the sum of its digits to the nth power equal the original number. For example with 2 digits, say I choose the number 36: 32 + 62 = 45.

What is the largest narcissistic number?

There are 88 narcissistic numbers in total, and the largest one has 39 digits.

Is 407 a narcissistic number?

Since the number of digits is not equal to the power to which they are taken for such numbers, it is not a narcissistic number. The smallest numbers which are sums of any single positive power of their digits are 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407, 1634, 4150, 4151, 8208, 9474.

Is 153 a narcissistic number?

definition. Thus, narcissistic numbers are numbers that can be represented by some kind of mathematical manipulation of their digits. A whole number, or integer, that is the sum of the nth powers of its digits (e.g., 153 = 13 + 53 + 33) is called a perfect…

What are all the narcissistic numbers?

Narcissistic numbers and cycles of Fb for specific b

What is Disarium number?

A number is called Disarium if sum of its digits powered with their respective positions is equal to the number itself.

Is Armstrong number a narcissistic number?

A number is said to be Armstrong or Narcissistic Number if it is equal to the sum of its own digits raised to the power of the number of digits in a given number. Single digits number 1 to 9 are also Armstrong numbers.

Is 1395 a vampire number?

The sequence of vampire numbers is: 1260, 1395, 1435, 1530, 1827, 2187, 6880, 102510, 104260, 105210, 105264, 105750, 108135, 110758, 115672, 116725, 117067, 118440, 120600, 123354, 124483, 125248, 125433, 125460, 125500.

Why is 153 a special number?

The number 153 has some unique arithmetic properties. It is a triangular number: it is the sum of the integers from 1 to 17. Almost every modern biblical commentary on the symbolism of 153 mentions this fact. (It is also one of the Armstrong numbers.

What is Krishnamurthy number?

Krishnamurthy number is another special number in Java. A number is said to be Krishnamurthy if the factorial sum of all its digits is equal to that number. Krishnamurthy number is also referred to as a Strong number.

How many narcissistic numbers exist in base 10?

A total of 88 narcissistic numbers exist in base-10, as proved by D. Winter in 1985 and verified by D. Hoey. These numbers exist for only 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 16, 17, 19, 20, 21, 23, 24, 25, 27, 29, 31, 32, 33, 34, 35, 37, 38, and 39 digits. It can easily be shown that base-10 -narcissistic numbers can exist only for, since.

What is a sociable narcissistic number?

A narcissistic number is a sociable narcissistic number with . , regardless of the base. This is because for any given digit count . Thus, any narcissistic number must satisfy the inequality

What are the smallest narcissistic numbers of digits?

The series of smallest narcissistic numbers of digits are 0, (none), 153, 1634, 54748, 548834, . (Sloane’s A014576). Hardy (1993) wrote, “There are just four numbers, after unity, which are the sums of the cubes of their digits:, ,, and.

What TV shows have narcissists in them?

Narcissists On Television Will & Grace – Karen Walker – rich, beautiful and blatantly narcissistic. Rarely shows empathy, but the writers seem to… House – Dr. Greg House – amazing doctor but he talks down to his patients, other doctors and his bosses, and except for… Breaking Bad – Walter White