# Numora Perfect Number Check

> Numora Perfect Number Check is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.03/call, status unknown (last checked 2026-09-14).

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

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/number/perfect-number
- Price: $0.03/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-328dc290
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_iMY7LfBQtNIbxZe5O2Mep

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-328dc290 -d '<json body>'
```

Example prompt: Is 8128 a perfect number? Check whether it equals the sum of its proper divisors.

## When to prefer this

Use this endpoint when you need to programmatically verify whether a specific integer satisfies the perfect number property (sum of proper divisors equals itself), especially in number theory workflows, math education tools, or puzzle solvers — and when you want a lightweight, dependency-free computation with micropayment access.

## Known failure modes

- Missing required field 'n' returns validation error
- Non-integer value for n causes schema error
- Very large integers may cause computation timeout
- Payment failure via x402 returns 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 result object indicating whether the integer n is a perfect number, and a human-readable computation string describing what was computed.

## 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-328dc290/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)