Problem Statement

The Harshad or Niven numbers are positive integers ≥ 1 that are divisible by the sum of their digits. For example,   42   is a Harshad number as   42   is divisible by   (4 + 2)   without remainder. Assume that the series is defined as the numbers in increasing order.

The task is to create a function/method/procedure to generate successive members of the Harshad sequence. Use it to:

Show your output here.

Let's start with the solution:

object Harshad extends App {
  val harshads = Stream.from(1).filter(i => i % i.toString.map(_.asDigit).sum == 0)

  println(harshads.take(20).toList)
  println(harshads.filter(_ > 1000).head)
}