888 (number)

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For the year 888 AD, see 888.
887 888 889
Cardinal eight hundred and eighty-eight
Ordinal 888th
(eight hundred and eighty-eighth)
Factorization 23· 3 · 37
Roman numeral DCCCLXXXVIII
Binary 11011110002
Ternary 10122203
Quaternary 313204
Quinary 120235
Senary 40406
Octal 15708
Duodecimal 62012
Hexadecimal 37816
Vigesimal 24820
Base 36 OO36

888 is a natural number with both mathematical and symbolic meaning.

In mathematics[edit]

888 is a repdigit (a number all of whose digits are equal),[1] and a strobogrammatic number (one that reads the same upside-down on a seven-segment calculator display).[2] 8883 = 700227072 is the smallest cube in which each digit occurs exactly three times,[3] and the only cube in which three distinct digits each occur three times.[4] 888 the smallest multiple of 24 whose digit sum is 24,[5] and as well as being divisible by its digit sum it is divisible by all of its digits.[6]

888 is a practical number, meaning that every positive integer up to 888 itself may be represented as a sum of distinct divisors of 888.[7]

There are exactly 888 trees with four unlabeled and three labeled nodes,[8] exactly 888 seven-node undirected graphs without isolated vertices,[9] and exactly 888 non-alternating knots whose crossing number is 12.[10]

Symbology and numerology[edit]

In Christian numerology, the number 888 represents Jesus, or sometimes more specifically Christ the Redeemer. This representation may be justified either through gematria, by counting the letter values of the Greek transliteration of Jesus' name,[11] or as an opposing value to 666, the number of the beast.[12]

In Chinese numerology, 888 has a different meaning, triple fortune, a strengthening of the meaning of the digit 8.[13] For this reason, addresses and phone numbers containing the digit sequence 888 are considered particularly lucky, and may command a premium because of it.[14]

See also[edit]

References[edit]

  1. ^ "Sloane's A010785 : Repdigit numbers, or numbers with repeated digits", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "Sloane's A018846 : Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "Sloane's A052071 : a(n)^3 is the smallest cube whose digits occur with the same frequency n", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Khovanova, Tanya (2008), Number Gossip, Gathering for Gardner, arXiv:0804.2277 .
  5. ^ "Sloane's A002998 : Smallest multiple of n whose digits sum to n", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ "Sloane's A051004 : Numbers divisible both by their individual digits and by the sum of their digits", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ Nombres pratiques (in French), Jeux et Mathématiques, Jean-Paul Davalan, retrieved 2013-01-31.
  8. ^ "Sloane's A000269 : Number of trees with n nodes, 3 of which are labeled", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ "Sloane's A002494 : Number of n-node graphs without isolated nodes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ "Sloane's A051763 : Number of nonalternating knots with n crossings", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ^ Dudley, Underwood (1997), Numerology: Or What Pythagoras Wrought, MAA Spectrum, Cambridge University Press, p. 105, ISBN 9780883855249 .
  12. ^ Cheiro (2005), Book Of Fate And Fortune: Numerology And Astrology, Orient Paperbacks, p. 60, ISBN 9788122200461 .
  13. ^ Ratzan, Lee (2004), Understanding Information Systems: What They Do and Why We Need Them, American Library Association, p. 202, ISBN 9780838908686 .
  14. ^ Hooker, John (2003), Working Across Cultures, Stanford University Press, p. 191, ISBN 9780804748070 .