A dataset of 9,999 integers from 2 to 10,000, tracking their Collatz conjecture trajectories. It was created by Taro Fujita and last updated in May 2026. The data includes counts of steps where digit sums in prime bases like 2 and 3 align or nearly align.
Use Cases
- Analyzing the distribution of total Collatz steps based on the starting integer.
- Investigating the frequency of exact digit sum resonance between base-2 and base-3 representations.
- Studying near-resonance events where digit sums in bases 2 and 3 differ by exactly one.
- Exploring cross-base resonance patterns between other prime bases like 3 and 5, or 5 and 7.
Strengths
- Includes a defined range of 9,999 starting integers from 2 to 10,000.
- Provides specific, novel metrics like r23 (exact base-2/3 digit sum resonance) and nr23 (near-resonance).
- Released under a permissive CC-BY-4.0 license for open use.
Limitations
- Row count is unknown, which may limit suitability assessment.
- Column-level documentation is absent; field semantics must be inferred after download.
- The dataset is small at 348.9 KB, representing a limited numerical scope.
Provenance
- Source
- Taro Fujita via figshare
- Collection Method
- Likely generated computationally by applying the Collatz function and calculating digit sums.
- Freshness
- Last updated 2026-05-15 12:19:17; freshness should be verified.