Sum of Cubes (1 to n) Reference Values

Calculate 1³ + 2³ + ... + n³ using [n(n + 1)/2]².

Author

Dr. Lars Eriksson

Math editorial contributor

Swedish environmental economist from Stockholm School of Economics, advisor to the EU on carbon pricing policy

Reviewed for accuracy by

Prof. Kenji Tanaka

Math content reviewer

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 23 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Sum of Cubes (1 to n) reference values
n1³ + ... + n³
0 Integer n0 Sum of Cubes
1 Integer n1 Sum of Cubes
2 Integer n9 Sum of Cubes
3 Integer n36 Sum of Cubes
4 Integer n100 Sum of Cubes
5 Integer n225 Sum of Cubes
6 Integer n441 Sum of Cubes
7 Integer n784 Sum of Cubes
8 Integer n1,296 Sum of Cubes
9 Integer n2,025 Sum of Cubes
10 Integer n3,025 Sum of Cubes
12 Integer n6,084 Sum of Cubes
15 Integer n14,400 Sum of Cubes
20 Integer n44,100 Sum of Cubes
25 Integer n105,625 Sum of Cubes
50 Integer n1,625,625 Sum of Cubes
75 Integer n8,122,500 Sum of Cubes
100 Integer n25,502,500 Sum of Cubes
250 Integer n984,390,625 Sum of Cubes
500 Integer n15,687,562,500 Sum of Cubes
1,000 Integer n250,500,250,000 Sum of Cubes
5,000 Integer n156,312,506,250,000 Sum of Cubes
10,000 Integer n2,500,500,025,000,000 Sum of Cubes

Frequently Asked Questions

Frequently asked questions for Sum of Cubes (1 to n) and its reference values.

What does the Sum of Cubes (1 to n) calculator do?

It helps with working with polynomial sums and sequence identities in algebra.

What formula does the Sum of Cubes (1 to n) calculator use?

Sum of cubes from 1 to n equals [n(n + 1)/2]².

What inputs are valid?

n must be a non-negative integer up to 10,000 for exact safe integer output.

When would I use this?

working with polynomial sums and sequence identities in algebra

Methodology and Review

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.