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x402-aliquot-sequence

Aliquot Sequence: Aliquot sequence of a number. 🆓 5 free trial calls per signed wallet

Input Schema

NameRequiredDescriptionDefault
valueNo

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed1 schema field changed
    • removedInput schema / properties / value / description
      Removed value: -"Value to process"
  2. Changed1 schema field changed
    • addedInput schema / properties / value
      Added value: +{
      +  "description": "Value to process",
      +  "type": "string"
      +}
  3. First observed

TDQS

D1.9/5.0
Behavior2/5

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

No annotations are provided, so the description carries the full disclosure burden. The only behavioral detail is the commercial note "5 free trial calls per signed wallet," which usefully signals a metered/paywalled service, but nothing is said about output shape (term list? sum?), cost beyond the trial, or error behavior for invalid input.

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

Conciseness3/5

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

Very short and front-loaded, but the space is spent on a near-verbatim restatement of the name and a marketing line. Nothing is padded, but the brevity reflects under-specification rather than efficiency.

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

Completeness2/5

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

A simple one-parameter tool with no output schema, so the description should at least explain what an aliquot sequence is and what comes back. It does neither, leaving the agent unable to predict the response or bound the computation for large inputs.

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

Parameters2/5

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

One parameter ("value") with 0% schema description coverage, so the description should compensate. It implies the parameter is the number to analyze, but it never states that the input is a string, what format or magnitude is accepted, or whether output length is bounded.

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

Purpose2/5

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

The description restates the tool name almost verbatim ("Aliquot Sequence: Aliquot sequence of a number") rather than stating a distinct action or output. It does imply a single numeric input, but an agent unfamiliar with the term gets no explanation of what an aliquot sequence is, and nothing distinguishes it from the many sibling number-theory tools such as x402-aliquot-sum or x402-amicable-pair.

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

Usage Guidelines1/5

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

There is no when-to-use guidance, no prerequisite conditions, and no mention of alternatives. With dozens of overlapping number-theory siblings, an agent has no information for choosing this tool over x402-aliquot-sum or x402-is-amicable.

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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