Full Collatz sequence
API · /collatz-api
Collatz Sequence API
The Collatz conjecture (the "3n+1" or hailstone problem) as an API, computed locally and deterministically. Give it any positive integer and the sequence endpoint returns the full hailstone path — at each step an even number is halved and an odd number is tripled and incremented (3n+1) — together with the total stopping time (the number of steps to reach 1) and the peak value the sequence climbs to. Starting from 6 the path is 6, 3, 10, 5, 16, 8, 4, 2, 1 — eight steps, peaking at 16; the notoriously long start 27 takes 111 steps and soars to a peak of 9232 before collapsing. The steps endpoint returns just the stopping time and peak altitude without the whole path, for fast bulk scans of where the big climbs and long tails are. All arithmetic runs in arbitrary-precision integers so the peak stays exact even when a small starting number balloons into the millions, and a safety cap keeps every request bounded. Starting numbers up to one hundred trillion are accepted. Everything is computed locally and deterministically, so it is instant and private. Ideal for maths-education, number-theory, recreational-mathematics and puzzle app developers, sequence-and-hailstone visualisers, and teaching material on the most famous unsolved problem in arithmetic. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 2 compute endpoints. This is the Collatz/3n+1 sequence specifically; for prime factorisation or GCD use a number-theory API.
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 157 ms
- Server probes · 24h
- Subscribers
- 4,833
- active
- Total calls
- 57
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 4,350 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- 4,350 calls/month
- 2 req/sec
- Full sequence + stopping time + peak
- No credit card
Starter
€3.75 /month
- 43,500 calls / month
- 6 requests / second
- Hard cap (429 above quota, no overage)
- 43,500 calls/month
- 6 req/sec
- BigInt-exact peaks up to 1e14
- Email support
Pro
€10.80 /month
- 224,000 calls / month
- 15 requests / second
- Hard cap (429 above quota, no overage)
- 224,000 calls/month
- 15 req/sec
- Bulk hailstone scans
- Priority support
Mega
€35.50 /month
- 1,240,000 calls / month
- 40 requests / second
- Hard cap (429 above quota, no overage)
- 1,240,000 calls/month
- 40 req/sec
- Platform scale
- Dedicated SLA
Built by
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api.oanor.com/numbertheory-api
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api.oanor.com/musicbrainz-api
Frequently asked questions
Quick answers about pricing, quotas, and integration.
How do I get an API key for Collatz Sequence API?
What's the rate limit for Collatz Sequence API?
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Code snippets
Sign up to get an API key, then call any path under your slug.
curl https://api.oanor.com/collatz-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/collatz-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/collatz-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);
import requests
r = requests.get(
"https://api.oanor.com/collatz-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())
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