RNGdle

Powers of Two

The binary aristocracy: 1, 2, 4, 8, 16…

What is it?

A power of two is 2 raised to a whole-number exponent: 1, 2, 4, 8 … 524288 = 2¹⁹. Computers think in these numbers — memory sizes, pixel counts, and tournament brackets all bow to the powers of two.

  • Exact matches20
  • Odds1 in 50,000
  • Out of1,000,001

How it scores

Only 20 powers of two fit in the range, so this is one of the rarest traits in the game. Rolling 65536 (2¹⁶) is a genuine event.

The formula: -log2(count / 1,000,001) bits per trait, capped at 20, summed with 0.5 decay per additional trait.

Highest-scoring powers of two

  1. 1score 31.3 · Mythic
  2. 8score 27.9 · Mythic
  3. 2score 27.8 · Mythic
  4. 64score 25.8 · Mythic
  5. 4,096score 25.7 · Mythic
  6. 262,144score 25.5 · Mythic
  7. 4score 25.2 · Mythic
  8. 512score 25.1 · Mythic
  9. 32,768score 23.9 · Mythic
  10. 1,024score 23.7 · Mythic

Related patterns

FAQ

Is 1 a power of two?

Yes — 2⁰ = 1, and RNGdle counts it.

What is the largest power of two in the game?

524,288, which is 2¹⁹. 2²⁰ = 1,048,576 is just out of range.

How many powers of two are there up to 1,000,000?

Exactly 20 — from 2⁰ to 2¹⁹ — about 1 in 50,000 numbers.