In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can...

largely alone, Kaprekar discovered a number of results in number theory and described various properties of numbers. In addition to the Kaprekar's constant...

Markov number 142,129 = 3772, square number, dodecagonal number 142,857 = Kaprekar number, smallest cyclic number in decimal. 144,000 = number with religious...

= 7!, superior highly composite number 5041 = 712, centered octagonal number 5050 – triangular number, Kaprekar number, sum of first 100 integers 5051...

third centered icosahedral number. In decimal, 55 is a Kaprekar number, whose digit sum is also 10. It is the first number to be a sum of more than one...

example, 1234 / 9999 = 0.123412341234... . 9999 is a Kaprekar number. 9999 was the last possible line number in some older programming languages such as BASIC...

23,1,0), to the Prime in the 23-aliquot tree. a Kaprekar number a lucky number a palindromic number the ninth repdigit the sum of the cubes of three...

The number 6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is renowned for the following rule: Take any...

a Størmer number. In decimal, 45 is a Kaprekar number and a Harshad number. Forty-five is a little Schroeder number; the next such number is 197, which...

In number theory, Kaprekar's routine is an iterative algorithm named after its inventor, Indian mathematician D. R. Kaprekar. Each iteration starts with...

nine-nine-nine) is a natural number following 998 and preceding 1000. 999 = 3 3 × 37 {\displaystyle 999=3^{3}\times 37} , a Kaprekar number. a repdigit in decimal...

octagonal number 2211 – triangular number 2221 – super-prime, happy number 2222 – repdigit 2223 – Kaprekar number 2230 – sum of the totient function for...

heptagonal number 4933 – super-prime 4941 – centered cube number 4943 – Sophie Germain prime, super-prime 4950 – triangular number, 12th Kaprekar number 4951...

The number 142,857 is a Kaprekar number. 142857, the six repeating digits of 1/7 (0.142857), is the best-known cyclic number in base 10. If it is multiplied...

nontotient, number of 7-node graphs with two connected components. country calling code for Uzbekistan 999 = 33 × 37, Kaprekar number, Harshad number In some...

Chen prime. 38807 = number of non-equivalent ways of expressing 10,000,000 as the sum of two prime numbers 38962 = Kaprekar number 39299 = Integer connected...

heptagonal number 7247 – safe prime 7260 – triangular number 7267 – decagonal number 7272 – Kaprekar number 7283 – super-prime 7291 – nonagonal number 7316...

Leyland number: 66 + 66. Also a 3-smooth number. 94,249 = palindromic square: 3072 94,932 = Leyland number: 75 + 57 95,121 = Kaprekar number: 951212 =...

of 10 is: 55, 5050, 500500, ... 55 in base-ten is also the fourth Kaprekar number as are all triangular numbers that are powers of ten, which initially...

21978 = 87912 22050 = pentagonal pyramidal number 22140 = square pyramidal number 22222 = repdigit, Kaprekar number: 222222 = 493817284, 4938 + 17284 = 22222...

non-repetitive Kaprekar number. It is also the sum of all the divisors of 100. 217, the year The Number 217, Virtue Science The non-repetitive Kaprekar binary...

Harshad number 703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number, area...

17296 = amicable number with 18416. 17344 = Kaprekar number. 17389 = 2000th prime number. 17471 = palindromic prime. 17570 = weird number. 17575 = square...

1097 + 1103 + 1109 + 1117 + 1123 + 1129) 9973 – super-prime 9999 – Kaprekar number, repdigit There are 112 prime numbers between 9000 and 10000: 9001...

274274274274...) Another consequence of 9 being 10 − 1 is that it is a Kaprekar number, preceding the ninth and tenth triangle numbers, 45 and 55 (where all...

of 17. 297 is a decagonal number which applies the properties of triangular numbers to decagons. 297 is a Kaprekar number which means that it can be...

is_armstrong_number(n) { println!("{n}") } }) } Arithmetic dynamics Dudeney number Factorion Happy number Kaprekar's constant Kaprekar number Meertens number Perfect...

tetranacci number 77777 = repdigit 77778 = Kaprekar number 78125 = 57 78163 = Friedman prime 78498 = the number of primes under 1,000,000 78557 = conjectured...

2^{20}} . 82,467 = number of square (0,1)-matrices without zero rows and with exactly 6 entries equal to 1 82,656 = Kaprekar number: 826562 = 6832014336;...

number Harshad number Keith number Kaprekar number Digit sum Persistence of a number Perfect digital invariant Happy number Perfect digit-to-digit invariant...