1 + 2 + 3 + 4 + · · ·

divergent series
Thing series_diverging_to_infinity Q2605420
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1 + 2 + 3 + 4 + · · ·

Summary

1 + 2 + 3 + 4 + · · · is a series diverging to infinity[1]. 1 + 2 + 3 + 4 + · · · draws 2,139 Wikipedia views per month (series_diverging_to_infinity category, ranking #1 of 4).[2]

Key Facts

  • 1 + 2 + 3 + 4 + · · ·'s instance of is recorded as series diverging to infinity[3].
  • 1 + 2 + 3 + 4 + · · ·'s instance of is recorded as sum[4].
  • 1 + 2 + 3 + 4 + · · ·'s numeric value is recorded as {'amount': '-0.086666666666'}[5].
  • 1 + 2 + 3 + 4 + · · ·'s numeric value is recorded as {'unit': 'Q1445491', 'amount': '+1'}[6].
  • 1 + 2 + 3 + 4 + · · ·'s facet of is recorded as triangular number[7].
  • 1 + 2 + 3 + 4 + · · ·'s different from is recorded as sum of first n natural numbers[8].
  • 1 + 2 + 3 + 4 + · · ·'s maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Recorded instance of include series diverging to infinity[3] and sum[4].

Why It Matters

1 + 2 + 3 + 4 + · · · draws 2,139 Wikipedia views per month (series_diverging_to_infinity category, ranking #1 of 4).[2] 1 + 2 + 3 + 4 + · · · has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[10] 1 + 2 + 3 + 4 + · · · is known by 17 alternative names across languages and contexts.[11]

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). 1 + 2 + 3 + 4 + · · ·. Retrieved May 3, 2026, from https://4ort.xyz/entity/1-2-3-4
MLA “1 + 2 + 3 + 4 + · · ·.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/1-2-3-4.
BibTeX @misc{4ortxyz_1-2-3-4_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{1 + 2 + 3 + 4 + · · ·}}, year = {2026}, url = {https://4ort.xyz/entity/1-2-3-4}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): 1 + 2 + 3 + 4 + · · · — https://4ort.xyz/entity/1-2-3-4 (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/1-2-3-4 · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 21d ago · MatSuBot bot · 2026-05-09 view diff on Wikidata ↗
    Aliases
    Maintained by wikiproject WikiProject Mathematics
    Different from sum of first n natural numbers
    Numeric value {'amount': '-0.086666666666'}, {'unit': 'Q1445491', 'amount': '+1'}
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ [[Property:P9758]]: [[Q16317911]], fix redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/CB/43bf22167717|details]])"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.