ForHosting KIT · Developer Utilities

Automorphic number checker

An automorphic number—sometimes called a circular number—is a non-negative integer n such that n squared ends with exactly the same decimal digits as n itself.

● BetaFree · in your browser

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Use it from WebAPIEmailTelegramApp soon

Classic one-digit cases include zero, one, five, and six: zero squared is zero, one squared is one, five squared is twenty-five, and six squared is thirty-six. Longer examples such as twenty-five (six hundred twenty-five), seventy-six (five thousand seven hundred seventy-six), three hundred seventy-six, and six hundred twenty-five appear in contest problems, recreational number theory, and classroom demos of modular arithmetic. This checker takes a single non-negative integer n, computes n squared with exact integer arithmetic, counts the decimal digits of n, tests whether the square ends with n, and returns both the boolean verdict and the square so you can audit the ending digits. The free browser tool and the API share one pure function, so interactive checks and automated pipelines never silently diverge. Negative inputs are rejected with a clear validation error rather than a silent false result.

How to use it

Enter your values in the form above. The tool checks them before calculating and shows the result on the same page.

Check your inputs

Use the labels and units shown next to each field. If something is missing or outside the allowed range, the page points to the field to fix.

Use it again or automate it

Use the browser tool for individual checks and the API when you need the same capability in an automated workflow.

What you can do with it

Get an answer now

Enter one set of values and see the result without building a spreadsheet or script.

Compare scenarios

Change one value at a time and rerun the calculation to understand what affects the result.

Automate repeated work

Use the API when the same calculation needs to run inside your product or workflow.

FAQ

How do I use this capability?

Complete the fields above and run it on this page. The form highlights anything that needs attention.

For developers — API access

Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.

API endpoint

POSThttps://api.kit.forhosting.com/numth/automorphic-number

Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.

Call it from your stack

curl -X POST https://api.kit.forhosting.com/numth/automorphic-number \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"n":25}'

const res = await fetch("https://api.kit.forhosting.com/numth/automorphic-number", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "n": 25
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/numth/automorphic-number",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "n": 25
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/numth/automorphic-number", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"n":25}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"n":25}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/numth/automorphic-number", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)

Example request

{
  "n": 25
}

Example response

{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "numth.automorphic_number",
  "status": "queued",
  "_links": {
    "result": "/tasks/tsk_…/result"
  }
}

The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.

Pricing

Per request$0.002

Published price — no tokens, no invented credits. A failed task is never charged.

Limits

`min_n`	0
`max_n`	94906265

Errors

HTTP	Code	Meaning
`401`	`unauthorized`	Missing or invalid API key.
`402`	`insufficient_balance`	Your balance doesn't cover the task price.
`404`	`unknown_type`	That task type doesn't exist.
`429`	`rate_limited`	Too many requests. Use the webhook instead of polling.

Read the full KIT documentation →

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