ScorpTech x402 Tools

Factorion

factorion

Read-onlyIdempotent

Whether n equals the sum of the factorials of its digits. 1, 2, 145, and 40585 do. 24 and 10 do not. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factorion

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": "factorion"
  }
}

Input Schema

Name	Required	Description	Default
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A4.2/5.0

Behavior4/5

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

Annotations already declare read-only, idempotent, open-world, non-destructive behavior. The description adds useful context beyond annotations: the valid input range, payment cost, x402/Solana mechanism, and an equivalent HTTPS endpoint. It does not contradict the annotations.

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

Conciseness5/5

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

The definition is front-loaded, followed by compact examples, range, and access details. Every sentence adds useful information for invoking or understanding the tool, with no filler.

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 predicate with no output schema, the description is nearly complete: it defines the property, gives examples, states the input range, and explains payment/access. A minor gap is that it does not explicitly state the return type, though 'Whether...' strongly implies a boolean.

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

Parameters4/5

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

Schema coverage is 0%, so the description must carry parameter meaning. It explains that n is the number whose factorial-digit sum is checked and states the 1 to 100000 range, which gives clear semantic context even though the schema already enforces min/max.

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

Purpose5/5

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

The description states a precise mathematical predicate: whether n equals the sum of the factorials of its digits. It includes true and false examples plus the valid input range, so the agent can distinguish this from sibling number-property tools without opening the schema.

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

Usage Guidelines3/5

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

The description implies when the tool applies by defining the factorion property, but it does not explicitly say when to use this versus alternatives such as other digit-based number checks. No exclusions or sibling routing guidance are given.

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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