aliquot sequence

mathematical recursive sequence
Thing general Q1663510
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aliquot sequence

Summary

aliquot sequence ranks in the top 2% of general entities by monthly Wikipedia readership (100 views/month).[1]

Key Facts

  • aliquot sequence's subclass of is recorded as sequence[2].
  • aliquot sequence's Freebase ID is recorded as /m/02g8jf[3].
  • aliquot sequence's described at URL is recorded as https://www.rechenkraft.net/aliquot/AllSeq.html[4].
  • aliquot sequence's defining formula is recorded as \begin{align} s_0 &= k \[4pt] s_n &= s(s_{n-1}) = \sigma_1(s_{n-1}) - s_{n-1} \quad \text{if} \quad s_{n-1} > 0 \[4pt] s_n &= 0 \quad \text{if} \quad s_{n-1} = 0 \[4pt] s(0) &= \text{undefined} \end{align}[5].
  • aliquot sequence's MathWorld ID is recorded as AliquotSequence[6].
  • aliquot sequence's Rosetta Code page ID is recorded as Aliquot_sequence_classifications[7].
  • aliquot sequence's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • aliquot sequence's Microsoft Academic ID is recorded as 2780837550[9].

Why It Matters

aliquot sequence ranks in the top 2% of general entities by monthly Wikipedia readership (100 views/month).[1] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[10] It is known by 18 alternative names across languages and contexts.[11]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . Freebase Data Dumps. wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] . Wikidata sitelinks. wikidata.org.
  3. [11] . Wikidata aliases. wikidata.org.

📑 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). aliquot sequence. Retrieved April 10, 2026, from https://4ort.xyz/entity/aliquot-sequence
MLA “aliquot sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/aliquot-sequence.
BibTeX @misc{4ortxyz_aliquot-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{aliquot sequence}}, year = {2026}, url = {https://4ort.xyz/entity/aliquot-sequence}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): aliquot sequence — https://4ort.xyz/entity/aliquot-sequence (retrieved 2026-04-10)

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