# Numora Collatz Sequence Computation

> Numora Collatz Sequence Computation 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).

Computes the Collatz sequence (3n+1 conjecture) for a given integer, returning the full sequence and related statistics

## Facts

- Endpoint: POST https://numormo.vercel.app/api/number/collatz
- 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-collatz-sequence-computation-86b14437
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_SFajzIrtuxXuDUrcpIjH6

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-collatz-sequence-computation-86b14437 -d '<json body>'
```

Example prompt: Can you compute the full Collatz sequence for 27 and tell me how many steps it takes to reach 1?

## When to prefer this

Choose this endpoint when you need a deterministic, dependency-free server-side computation of the Collatz sequence for a specific integer, especially when you want the full sequence path, stopping time, and peak value in a single call. Prefer it over client-side computation when auditability or a structured API response is required.

## Known failure modes

- Missing required field 'n' returns a validation error
- Non-integer or non-positive input may return an error or undefined behavior
- Very large integers may cause timeout or memory issues depending on sequence length
- Payment failure (insufficient USDC balance) blocks the request via x402 protocol

## 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 success flag, a human-readable computation description, and a result object containing the full Collatz sequence array, its length (stopping time), the maximum value reached during the sequence, and the starting number n.

## 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-collatz-sequence-computation-86b14437/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)