# minia2a x402 Is Powerful Check

> minia2a x402 Is Powerful Check is a paid API for AI agents from minia2a.uk, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-14).

Checks whether a given number or value is a 'powerful number' (a number where every prime factor appears at least twice in its factorization)

## Facts

- Endpoint: GET https://minia2a.uk/x402/isPowerful?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/minia2a-x402-is-powerful-check-8ef826aa
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_UB6gaiHrXAEFkYK8O4_ne

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability minia2a-x402-is-powerful-check-8ef826aa
```

Example prompt: Can you check whether 72 is a powerful number — meaning every prime factor appears at least twice in its factorization?

## When to prefer this

Use this endpoint when you need a fast, cheap ($0.01 USDC) single-call check on whether an integer is a powerful number, without building your own number theory library. Best suited for math education apps, puzzle generators, or data pipelines that need to classify integers by this property.

## Known failure modes

- Missing or invalid input value returns an error
- Non-integer or non-numeric input may be rejected
- Very large integers may cause computation errors or timeouts
- Malformed query parameters result in bad request responses

## How this service works

Is Powerful

## Output

Returns a boolean or classification indicating whether the input value satisfies the mathematical 'powerful number' property (every prime factor appears at least twice in the number's prime factorization). May include the result value and any supporting detail.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "input"
 ],
 "properties": {
  "input": {
   "type": "object",
   "properties": {
    "type": {
     "type": "string"
    },
    "method": {
     "type": "string"
    },
    "bodyType": {
     "type": "string"
    },
    "queryParams": {
     "type": "object"
    }
   }
  },
  "output": {
   "type": "object",
   "properties": {
    "type": {
     "type": "string"
    }
   }
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "ok": true
 },
 "answerAt": "result"
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/minia2a-x402-is-powerful-check-8ef826aa/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from minia2a.uk](https://www.zero.xyz/host/minia2a.uk/llms.txt)