Prime Factor

{
  "aliquotSum": "9692673337",
  "asOf": "2026-10-11T06:26:07.115Z",
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "distinctPrimes": 4,
  "divisorCount": "16",
  "divisorSum": "610544148480",
  "factorization": "71 x 839 x 1471 x 6857",
  "factors": [
    {
      "exponent": 1,
      "prime": "71"
    },
    {
      "exponent": 1,
      "prime": "839"
    }
  ],
  "isPrime": false,
  "n": "600851475143",
  "notChecked": [
    "numbers above 10^19",
    "this does not give a primality certificate, but the Miller-Rabin test with 12 fixed bases is deterministic (proven correct) below 3.3 x 10^24",
    "…1 more"
  ],
  "numberType": "deficient",
  "reasons": [
    "Square-free (no repeated prime factor).",
    "Aliquot sum 9692673337 versus 600851475143: deficient."
  ],
  "source": "computed locally",
  "squareFree": true,
  "summary": "600851475143 = 71 x 839 x 1471 x 6857; 16 divisors, sum 610544148480, totient 591194251200, deficient.",
  "totient": "591194251200",
  "verdict": "COMPOSITE"
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://math-stats.x402tookit.com/prime-factor?n=600851475143'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://math-stats.x402tookit.com/prime-factor?n=600851475143' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fmath-stats.x402tookit.com%2Fprime-factor
const res = await pay("https://math-stats.x402tookit.com/prime-factor?n=600851475143");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://math-stats.x402tookit.com/prime-factor?n=600851475143")
    print(res.status_code, res.text)