ScorpTech x402 Tools

Zumkeller Half

zumkeller_half

Read-onlyIdempotent

Half the sum of the divisors of n. 6 gives 6, 10 gives 9, and 12 gives 14. An odd divisor-sum is rejected. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zumkeller-half

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "zumkeller_half"
  }
}

Input Schema

Name	Required	Description	Default
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A3.5/5.0

Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare the operation read-only, idempotent, non-destructive, and open-world. The description adds meaningful behavior beyond annotations: the x402 payment cost, the HTTPS endpoint, the allowed numeric range, and the rejection of odd divisor-sum inputs.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is short and front-loads the mathematical definition before examples, constraints, and access details. The range statement duplicates the schema and could be trimmed, but overall it is efficient.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a simple one-parameter read-only math tool with rich annotations and no output schema, the description covers the operation, examples, input limits, rejection condition, price, and alternate endpoint. It is nearly complete, though error/return formatting details are not specified.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The schema has 0% description coverage, so the description must compensate. It implies n is the integer whose divisors are summed, repeats the 1-2000 range already in the schema, and gives examples, but it does not fully document the parameter's semantics or error behavior.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the operation: half the sum of the divisors of n, and gives concrete input-output examples. It does not, however, distinguish the tool from close siblings such as zumkeller, zumkeller_odd, or divisor_sum.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description gives input constraints (n from 1 to 2000, odd divisor-sum rejected) but never explains when to choose this tool over sibling tools. There is no explicit when-to-use or when-not-to-use guidance.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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