Guide

q33 Guide and Divisibility Cycle Demo

The official website of q33. This independent guide covers the search name q33 and hosts its own browser game, Divisibility Cycle. The name and this address do not establish an outside operator, licence, official app or account service.

Play the free demo
Free demo game

Twelve fair binary reveals build three numbers, and their divisibility relations determine a changing gross quote. You can collect manually or choose an automatic threshold. The demo uses virtual coins without cash value and has no sign-in, deposit or withdrawal.

Three numbers and a divisibility score

Each group of four bits represents 0 to 15; adding one gives a number from 1 to 16. The complete numbers are a, b and c. Count how many of these three statements are true: a divides b, b divides c, and c divides a. Divides means division has no remainder.

The score ranges from zero to three. Choose Linear, Square or Cube before the round: these use the score, its square or its cube as a reward weight. They change the weighting, not which divisibility statements are true.

A quote that can move either way

The initial quote is ×0.97. Each reveal narrows the possible terminal triples, and the quote compares their mean reward weight with the starting mean. It may rise, fall or reach zero. Waiting does not guarantee a larger return.

The panel shows partial binary blocks and their progress out of four bits. The quote is displayed to four decimal places, while the calculation and settlement use the unrounded value.

Choose how to collect

Stakes are 10, 20, 50 or 100 play coins, with default 20. Choose a curve and Auto off, Auto ×1.25, ×1.75 or ×2.50 before starting. One stake is deducted; stake, curve, automatic setting, restoration and another start then remain locked. Sound remains usable.

Manual collection is available immediately, including the initial ×0.97 quote before the first reveal. A click first processes all reveals already due. Zero settles before collection at that step. An earlier automatic crossing settles before a later zero, and pays the full crossing quote, including overshoot. Step twelve collects a positive quote even below the automatic threshold.

A worked automatic collection

Choose Linear and Auto ×1.25. If the first two bits are both 0, the quote after step one is ×1.1252, then about ×1.3838666667 after step two. The second step is the first crossing of ×1.25 and settles at its actual quote.

With stake 20 from a balance of 1,000 and previous carry zero, the stake leaves 980. Raw gross return is about 27.6773333333. The wallet receives 27, saves about 0.6773333333 as carry and ends at 1,007. Net change is +7; the gross return includes the stake.

The local play wallet

A first-time wallet starts at 1,000 virtual coins. When idle and below 10, Restore balance sets the total to 1,000. It does not add 1,000, work at exactly 10 or clear carry. A zero return also preserves existing fractional carry.

Balance, including zero, and carry are saved in browser localStorage. Refreshing an unfinished round leaves the stake deducted and ends it without refund, payout or resumption. A reload selects stake 20, Linear and Auto off.

Read the limits and resources

The exact unrounded expected gross return is 97% for the tested curves and stopping policies. It is an average over possible outcomes rather than a session promise. Whole-coin payment rounds raw gross return plus saved carry down and keeps the remainder.

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Frequently asked questions

Is this an official q33 account service?

This is an independent guide with its own demo. It does not establish an outside company, licence, official app or account service.

Must I wait for a reveal before collecting?

No. Manual collection before the first reveal can use the initial ×0.97 quote. The click processes any reveals already due before collecting a still-active round.

Will refresh refund the current stake?

No. An unfinished round ends without refund, payout or resumption. Its stake remains deducted; the saved balance and carry remain local.