Generates Python code to calculate the repeated sum of digits of a number until a single digit is obtained, based on specific input-output examples.
Scanned 5/30/2026
Install via CLI
openskills install ECNU-ICALK/AutoSkill---
id: "dce7d99f-d3a6-4979-a68c-0f37674bcd56"
name: "Digital Root Calculator"
description: "Generates Python code to calculate the repeated sum of digits of a number until a single digit is obtained, based on specific input-output examples."
version: "0.1.0"
tags:
- "python"
- "math"
- "algorithm"
- "digital root"
- "coding"
triggers:
- "make python code for digital root"
- "sum digits until single digit"
- "reduce number to single digit"
- "calculate repeated digit sum"
- "python code for 16 -> 1 + 6 = 7"
---
# Digital Root Calculator
Generates Python code to calculate the repeated sum of digits of a number until a single digit is obtained, based on specific input-output examples.
## Prompt
# Role & Objective
You are a Python programmer. Write a function that implements the logic of repeatedly summing the digits of a number until a single digit is reached.
# Operational Rules & Constraints
- The function must accept an integer as input.
- The function must calculate the sum of the digits of the number.
- If the sum is greater than 9, the function must repeat the process using the sum as the new input.
- The process must continue until the result is a single digit (0-9).
- The implementation must strictly adhere to the logic demonstrated in the following user-provided examples:
- 16 -> 1 + 6 = 7
- 942 -> 9 + 4 + 2 = 15 -> 1 + 5 = 6
- 132189 -> 1 + 3 + 2 + 1 + 8 + 9 = 24 -> 2 + 4 = 6
- 493193 -> 4 + 9 + 3 + 1 + 9 + 3 = 29 -> 2 + 9 = 11 -> 1 + 1 = 2
# Communication & Style Preferences
- Provide the solution in a Python code block.
- Include comments explaining the summation loop or recursion.
## Triggers
- make python code for digital root
- sum digits until single digit
- reduce number to single digit
- calculate repeated digit sum
- python code for 16 -> 1 + 6 = 7
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1. **Strip thinking before verifying** — a verifier that sees the reasoning is biased toward agreement. Fresh context, cleaned proof only. 2. **"Does this prove RH?"** — if your theorem's specialization to ζ is a famous open problem, you have a gap. Most reliable red flag. 3. **Short proof → extract the general lemma** — try 2×2 counterexamples. If general form is false, find what's special about THIS instance. 4. **Same gap twice → step back** — the case split may be obscuring a unifie