# 1837. Sum of Digits in Base K

https://leetcode.com/problems/sum-of-digits-in-base-k

## Description

Given an integer `n` (in base `10`) and a base `k`, return _the **sum** of the digits of_ `n` _**after** converting_ `n` _from base_ `10` _to base_ `k`.

After converting, each digit should be interpreted as a base `10` number, and the sum should be returned in base `10`.

**Example 1:**

```
**Input:** n = 34, k = 6
**Output:** 9
**Explanation:** 34 (base 10) expressed in base 6 is 54. 5 + 4 = 9.
```

**Example 2:**

```
**Input:** n = 10, k = 10
**Output:** 1
**Explanation:** n is already in base 10. 1 + 0 = 1.
```

**Constraints:**

* `1 <= n <= 100`
* `2 <= k <= 10`

## ac

```java
```
