Wat is armstrong number?

Question

Wat is armstrong number?

Answer 1

An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 3**3 + 7**3 + 1**3 = 371.

Answer 2

n digit number that is sum of n^th power of its digits for example

6^1 = 6, and 1^4 + 6^4 + 3^4 + 4^4 = 1634.

Answer 3

What is an Armstrong number?

An Armstrong number is an n-digit base b number such that the sum of its (base b) digits raised to the power n is the number itself. Hence 153 because 13 + 53 + 33 = 1 + 125 + 27 = 153.

Much more information can be found at the site of Lionel Deimel. The most principal information is that the number of Armstrong numbers for a particular base is finite. So, theoretically, you could list all Armstrong numbers up to a particular base, and that is what I have done, using a program of course. My first program was pretty fast compared to what I have found later in the literature. For instance I found references of weeks of computing all base 10 Armstrong numbers while my program did it at that time in about 34 minutes. Compare that to my current desktop computer (fairly old) which does it in 11 minutes, and my next desktop computer which will perform the same feat in 1.5 minutes! But searching times will be exponential on the base. The last base I did on the old computer (a CDC Cyber) was 12, and it took 36 hours 6 minutes and 30.061 seconds back in 1985. Later (1997) we had faster local computers so I could complete the search until base 16, but it still took quite some time. As far as I know it took slightly less than a year to complete base 16. So I will not continue on this path. The results can be found in the table.

i hope i helped..

Answer 4

why dont you ask him by taking some information about him from internet???

Answer 5

If the sum of cube of all digits of a number is same as the number then it is called as armstrong number.

Example: 153

153=(1*1*1)+(5*5*5)+(3*3*3)

Answer 6

An Armstrong number is an n-digit number that is equal to the sum of the nth powers of its digits.

There are nine single-digit Armstrong numbers, namely 1‑9; there are no two-digit Armstrong numbers; and there are four three-digit Armstrong numbers: 153, 370, 371, and 407.

Answer 7

Armstrong numbers are those numbers in which sum of cube of all digets provides the same number.

Example:-

153

1^3 = 1

5^3 = 125

3^3 = 27

1^3 + 5^3 + 3^3

= 1 + 125 + 27

= 153

Answer 8

In number theory, a narcissistic number[1][2] or pluperfect digital invariant (PPDI)[3] or Armstrong number[4] is a number that in a given base is the sum of its own digits to the power of the number of digits.

To put it algebraically, let  be an integer with representation dkdk − 1...d1 in base-b notation. If  then n is a narcisstic number. For example, the decimal (Base 10) number 153 has three digits and is a narcissistic number, because:



If the constraint that the power must equal the number of digits is dropped, so that for some m it happens that  then n is called a perfect digital invariant or PDI.[5][2] For example, the decimal number 4150 has four digits and is the sum of the fifth powers of its digits



so it is a perfect digital invariant but not a narcissistic number.

In "A Mathematician's Apology", G. H. Hardy wrote:

There are just four numbers, after unity, which are the sums of the cubes of their digits:

153 = 13 + 53 + 33

370 = 33 + 73 + 03

371 = 33 + 73 + 13

407 = 43 + 03 + 73.

These are odd facts, very suitable for puzzle columns and likely to amuse amateurs, but there is nothing in them which appeals to the mathematician.