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Revision as of 12:29, 16 September 2022 editDhrm77 (talk | contribs)Extended confirmed users, Pending changes reviewers4,640 edits Undid revision 1110509294 by 2800:E2:407F:FC24:3D9F:C07F:3B1A:E8F2 (talk) removal of content without proper justification.Tags: Undo Reverted← Previous edit Revision as of 13:35, 16 September 2022 edit undo181.71.66.100 (talk) In mathematics: Alex Bellos suggested 247 to be the lowest candidate, not 224Tags: Manual revert Reverted Mobile edit Mobile web editNext edit →
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224 is the smallest ''k'' with λ(''k'') = 24, where λ(''k'') is the ].<ref>{{Cite OEIS|A141162|name=Smallest k such that lambda(k) = n}}</ref> 224 is the smallest ''k'' with λ(''k'') = 24, where λ(''k'') is the ].<ref>{{Cite OEIS|A141162|name=Smallest k such that lambda(k) = n}}</ref>

The mathematician and philosopher ] suggested in 2014 that a candidate for the lowest ] would be 224 because it was, at the time, "the lowest number not to have its own page on ]".<ref>{{Cite book|last=Bellos|first=Alex|others=illus. The Surreal McCoy|date=June 2014|title=The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life|edition=1st Simon & Schuster hardcover|publisher=Simon & Schuster|publication-place=N.Y.|at=pp. 238 & 319 (quoting p. 319)|isbn=978-1-4516-4009-0}}</ref>


==In other fields== ==In other fields==

Revision as of 13:35, 16 September 2022

224 (two hundred twenty-four) is the natural number following 223 and preceding 225.

In mathematics

Natural number
← 223 224 225 →
220 221 222 223 224 225 226 227 228 229 0 100 200 300 400 500 600 700 800 900
Cardinaltwo hundred twenty-four
Ordinal224th
(two hundred twenty-fourth)
Factorization2 × 7
PrimeNo
Greek numeralΣΚΔ´
Roman numeralCCXXIV, ccxxiv
Binary111000002
Ternary220223
Senary10126
Octal3408
Duodecimal16812
HexadecimalE016

224 is a practical number, and a sum of two positive cubes 2 + 6.

224 is the smallest k with λ(k) = 24, where λ(k) is the Carmichael function.

In other fields

References

  1. Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A003325 (Numbers that are the sum of 2 positive cubes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A141162 (Smallest k such that lambda(k) = n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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