# Numora Perfect Number Check

> Numora Perfect Number Check is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

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

## Facts

- Endpoint: POST https://numormo.vercel.app/api/number/perfect-number
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-perfect-number-check-b5d0b51e
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_go1aqDRNFoGqZqtbmcpi-

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-b5d0b51e -d '<json body>'
```

Example prompt: Can you check if 496 is a perfect number?

## When to prefer this

Use this endpoint when you need a fast, dependency-free, deterministic check of whether an integer is a perfect number as part of a number theory workflow, math education tool, or algorithmic verification pipeline. Prefer this over general-purpose math libraries when you want a pay-per-call micropayment model with no setup or infrastructure.

## Known failure modes

- Missing required field 'n' — returns error if integer is not provided
- Non-integer input for n may cause a validation error
- Negative integers or zero may return false or an error since perfect numbers are defined for positive integers
- Very large integers may cause slow computation or timeout

## 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 result object indicating whether the input integer n is a perfect number, and a human-readable computation description explaining what was checked.

## 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-b5d0b51e/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)