Formula Reference
This calculator uses standard mathematical axioms and verified algorithms to ensure result integrity.
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Always verify input units. Mathematical consistency depends on unit uniformity across all variables.
Results are rounded for readability. For high-precision scientific work, consider the raw output.
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Social Network Centrality Calculator
The Social Network Centrality Calculator computes degree, betweenness, and eigenvector centrality together from a typed list of connections between nodes. It ranks every node on all three measures, automatically flags bridge nodes where the most connected node differs from the most critical connector, and reports overall network density and average degree.
Group Cohesion Index Calculator
The Group Cohesion Index Calculator computes the sociometric cohesion index, dissociation index, and net cohesion score for a group from peer-nomination data. It automatically flags the sociometric star, the member receiving the most positive nominations, and any isolates who gave and received no nominations at all, then classifies the group cohesion level into a descriptive tier.
What Is the Community Size vs Stability Calculator?
The Community Size vs Stability Calculator classifies any group or online community into one of Robin Dunbar's published layered group-size tiers, from a five-person support clique up through a 150-person stable community and beyond, then combines that classification with your own growth rate and churn rate to flag specific, named stability risks. Type in your community's current size, and optionally its size at an earlier point along with how many members left in between, and the calculator works out which size layer you fall into, the natural contact interval research associates with that layer, and whether your growth or churn pattern carries any documented risk factor. No equivalent calculator combining real Dunbar reference data with a community's own growth and retention figures existed publicly before this tool was built; the topic is otherwise covered only through explanatory articles about Dunbar's number in the abstract.
Community size and stability sit at the center of long-running sociological and organizational research, given that growth is usually treated as an unambiguous success signal while retention, cohesion, and structural strain often get tracked separately or not at all. This calculator's purpose is to put those signals side by side rather than let a rising headcount obscure a community that is quietly losing its earlier cohesion.
Dunbar's Layered Group Sizes and the Natural Contact Interval
Dunbar's research, originally extrapolated from a regression relationship between neocortex size and group size across 38 primate species, identified six nested relationship layers: roughly 5 very close relationships, 15 close friends, 50 casual friends, 150 stable community members, 500 acquaintances, and 1,500 recognizable faces. Each layer is also associated with a typical natural contact interval, ranging from about 12.6 days for the innermost 5-person layer to 245.9 days for the outermost 1,500-person layer, since wider layers spread the same finite amount of relationship-maintenance time across far more people. This calculator interpolates that interval for any community size between the published anchor points, giving an estimate of how often meaningful contact between members would naturally need to happen to sustain relationships at that scale.
Why Size Alone Does Not Determine Stability
Research separating online community success into distinct measures, growth, retention, activity, and long-term survival, has found these four do not correlate strongly with each other, meaning a community can be growing in headcount while losing ground on retention or activity at the same time. Group cohesion research adds a further wrinkle: cohesiveness is not strongly associated with stability in very small groups, roughly 8 to 10 members or fewer, but becomes an increasingly important factor in groups larger than that. Putting a number on cohesion directly within a specific group is a separate calculation; our Group Cohesion Index Calculator computes that figure from member nomination data for any group you want to check.
| Layer | Size | Contact Interval |
|---|---|---|
| Support Clique | 5 | ~12.6 days |
| Sympathy Group | 15 | ~23.9 days |
| Active Community | 50 | ~25.0 days |
| Stable Community (Dunbar's Number) | 150 | ~46.3 days |
| Acquaintance Network | 500 | ~64.2 days |
| Recognition Network | 1,500 | ~245.9 days |
Growth Rate and Churn: The Two Numbers Headcount Alone Hides
A community's total size can rise even while it is losing existing members faster than ever, simply because new joins outpace departures, which is exactly why this calculator reports growth rate and churn rate as two separate figures rather than folding them into the headcount. Annualized growth above roughly 75 percent is flagged here as a specific risk, since new members joining at that pace are very likely arriving faster than the community's existing members can realistically form the relationships that smaller, more naturally stable layers sustain almost automatically. Churn above roughly 20 percent of the prior size is flagged separately, since high churn signals a retention problem that more growth alone will not fix.
Accuracy and Limitations
Dunbar's specific numbers, while widely cited and supported by independent studies of telephone networks, Christmas card lists, and online social platforms clustering near similar figures, are not without serious methodological criticism. A 2021 reanalysis published in Biology Letters found that applying different, equally defensible statistical methods to Dunbar's original primate data produces confidence intervals as wide as roughly 4 to 520, casting real doubt on treating 150 as a precise scientific threshold rather than a useful approximate reference point. Treat the tier classifications and flags here as a structured way to think about size-driven stability risk, not as a precise prediction of whether any specific community will or will not remain stable.
The Most Common Community Growth Mistake
The mistake I see most often is treating a rising member count as the only metric that matters, without separately tracking whether the community's retention, activity, or internal cohesion are moving in the same direction. A community can grow steadily on paper while existing members quietly feel it has become less close-knit, exactly the gap between "more members" and "more connection" that headcount alone cannot reveal. Whenever a community's growth chart looks healthy but member sentiment does not match it, I check the growth rate against the size tier first, since crossing a major Dunbar threshold while growing quickly is a specific, identifiable pattern, not a vague feeling that something has changed.
Frequently Asked Questions
Muhammad Shahbaz Siddiqui
Founder, TheCalculatorsHub
How a Discord server's growth spreadsheet finally explained why doubling members made the community feel less alive
The volunteer moderators of a hobbyist Discord server reached out after a frustrating year: their member count had grown from about 120 to 180 over twelve months, a result the founding moderators had been celebrating publicly, while several long-time members were privately telling them the server "felt dead" compared to a year earlier despite having more people in it than ever. The moderation team had no framework for reconciling those two facts, so I ran their numbers, current size, size a year prior, and an estimate of members who had gone fully inactive in that period, through the Community Size vs Stability calculator.
The output reframed the problem immediately. At 180 members the server had crossed Robin Dunbar's roughly 150-person threshold, the size beyond which Dunbar's own research on stable group sizes indicates informal personal relationships alone stop being enough to hold a community together, typically requiring some combination of subgroups, defined roles, or moderation structure to remain cohesive at that scale. The calculator also flagged the 50 percent annualized growth rate itself as a separate risk factor, since new members were very likely joining faster than the server's existing members could realistically form the kind of relationships that smaller communities sustain almost automatically.
The moderators had been treating member count as the only success metric worth tracking, missing that research on online community success measures explicitly separates growth from retention, activity, and long-term survival, four metrics that do not move together. Acting on the flag, the server split into topic-specific sub-channels with their own informal regulars and added a lightweight onboarding buddy system for new joiners, specifically targeting the relationship-formation gap the growth-rate flag had identified rather than trying to solve the problem with more moderation rules. Six months later, the founders reported the "feels dead" complaints had stopped even though total membership had grown further, to around 210.
