# Numora Perfect Number Check

> Numora Perfect Number Check is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-16).

Determines whether a given integer is a perfect number (equal to the sum of its proper divisors)

## Facts

- Endpoint: POST https://numomo.vercel.app/api/number/perfect-number
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-16
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-perfect-number-check-2e821e8b
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_hu_-DY7_qMt4mutxFjU0E

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 numora-perfect-number-check-2e821e8b -d '<json body>'
```

Example prompt: Can you check whether 496 is a perfect number — like, does it equal the sum of all its proper divisors?

## When to prefer this

Choose this endpoint when you need a reliable, zero-dependency pure math computation to check if a specific integer is a perfect number. Ideal for number theory workflows, educational tools, or math-heavy agent pipelines where calling an external heavy library is impractical. Prefer over general-purpose code execution if you want a clean API response with a human-readable computation description.

## Known failure modes

- Missing required field 'n' returns a validation error
- Non-integer or float input may cause a type error
- Very large integers may exceed computation limits or cause timeouts
- Payment failure via x402 micropayment returns a 402 status before computation begins

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a boolean success flag, a computation string describing what was checked, and a result object indicating whether the input integer n is a perfect number along with relevant details such as proper divisors and their sum.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "n"
 ],
 "properties": {
  "n": {
   "type": "integer"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-perfect-number-check-2e821e8b/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)