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273 (number)

From Wikipedia, the free encyclopedia

273 (two hundred [and] seventy-three) is the natural number following 272 and preceding 274.

← 272 273 274 →
Cardinaltwo hundred seventy-three
Ordinal273rd
(two hundred seventy-third)
Factorization3 × 7 × 13
Divisors1, 3, 7, 13, 21, 39, 91, 273
Greek numeralΣΟΓ´
Roman numeralCCLXXIII, cclxxiii
Binary1000100012
Ternary1010103
Senary11336
Octal4218
Duodecimal1A912
Hexadecimal11116

In mathematics

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273 is a sphenic number, being the product of three distinct primes: 3 × 7 × 13.[1] It is also a lucky number,[2] a truncated triangular pyramid number,[3] and an idoneal number.[4]

There are 273 different ternary trees with five nodes.[5] It is in the Moser–de Bruijn sequence, comprising the sum 44 + 42 + 40 = 256 + 16 + 1,[6] and is a central polygonal number.[7]

273 is a deficient number, as the sum of its proper divisors (175) is less than itself.

In science

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The number 273 has particular significance in temperature measurement. Absolute zero, the lowest possible temperature, is −273.15 °C (0.00 K; −459.67 °F), often rounded to −273 °C.[8] Correspondingly, the freezing point of water at standard pressure is approximately 273 K (273.15 K exactly).[8]

This relationship arises from Charles's law, which determined that at constant pressure, ideal gases expand or contract their volume by about 1273 per degree Celsius of temperature change.[9]

In astronomy

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References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A007304 (Sphenic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000959 (Lucky numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A051937 (Truncated triangular pyramid numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A000926 (Euler's idoneal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A001764 (Catalan numbers of order 3)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A000695 (Moser-de Bruijn sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A002061 (Central polygonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ a b "Kelvin temperature scale". National Weather Service Glossary. NOAA. Retrieved 2026-01-26.
  9. ^ "Absolute Zero". Smithsonian Magazine. 15 November 2013. Retrieved 2026-01-26.
  10. ^ "273 Atropos". JPL Small-Body Database. NASA.
  11. ^ "NGC 273". Courtney Seligman.