Guide

About the Sun20 Guide and Original Demo

The official website of sun20. This site explains a browser demo with its own arithmetic score. The Sun20 query name provides context without establishing an official connection to another service.

The Sun20 name and this guide

Sun20 is the query name used by this independent guide at sun20.info. A name or web address alone does not establish an official operator, company, licence, app or affiliation. This site explains its own original browser demo, Divisor Variance Reels. It does not certify another product or establish a relationship with an outside service.

What these pages explain

The guide covers the two-reel integer formula, the divisor statistic and the three reward curves. It also explains stake deduction, fractional carry, restoration and reloads. Pages about APKs and login describe what this demo actually offers; they do not document an assumed outside platform, author biography or business address.

Use every positive divisor

List all positive divisors of n, including 1 and n itself, and let k be the number of divisors. Calculate k × the sum of their squares − the square of their sum. The minimum across the 256 starting integers is 0, so the reward score equals this statistic. It also equals the sum of squared differences over all unordered pairs of divisors. The game does not divide by k or k²: its score is not a normalized statistical variance. No proper-divisor chain or repeated replacement is involved.

The same exact expectation for every curve

All 256 integers are equally likely. For each curve, dividing its weight by the exact mean weight and multiplying by 0.96 makes the average raw gross multiplier 0.96, or 96% of stake. This is expected gross return, not a win probability or a promised session result. Square and Cube change how strongly large scores affect individual returns, but their own normalization preserves the same expectation. Three independent one-million-round simulations, one per curve, measured approximately 96.081% for Linear, 95.541% for Square and 95.941% for Cube. These measured samples do not define or change the exact 96% return rule.

Local wallet and manual restoration

A fresh wallet starts with 1,000 virtual coins. The balance, including zero, and fractional carry are saved in browser localStorage. When no round is active and the balance is below 10, Restore balance sets it to exactly 1,000. It does not add 1,000 or run automatically. Restoration preserves carry, the selected stake and the selected curve. It is available whenever those conditions are met. Coins have no cash value and cannot be withdrawn.

Adult audience and personal limits

This guide and demo are intended for adults aged 18 and over. That label states the audience policy; it is not an enforced age check or evidence about local legal eligibility. Choose your own time and virtual-coin limits. You can let the current spin settle and then close the page for a break. There is no enforced session timer or account-based self-exclusion tool.

Frequently asked questions

Does this guide certify an outside Sun20 service?

No. It explains its own demo and does not establish another operator, licence, affiliation or payment performance.

Which divisors are included?

All positive divisors, including 1 and the integer itself. With k divisors, the score is k × sum of squared divisors − square of their sum; the subtracted minimum is 0.

What happens if I reload during a spin?

The captured stake remains deducted and the unfinished round receives no refund or payout and cannot resume. Saved remaining balance and carry stay local; controls reset to stake 20 and Linear.