888 (number)
| ||||
|---|---|---|---|---|
| Cardinal | eight hundred eighty-eight | |||
| Ordinal | 888th (eight hundred eighty-eighth) | |||
| Factorization | 23 × 3 × 37 | |||
| Greek numeral | ΩΠΗ´ | |||
| 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 (eight hundred eighty-eight) is the natural number following 887 and preceding 889.
It is a strobogrammatic number that reads the same right-side up and upside-down on a seven-segment calculator display, symbolic in various mystical traditions.
In mathematics
888 is a base ten repdigit (a number all of whose digits are equal),[1] and
- [math]\displaystyle{ 888 = 24 \times 37. }[/math]
Where 37 is the 12th prime number. 888 is the smallest multiple of twenty-four divisible by all of its digits,[2] whose digit sum is also itself.[3]
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.[4]
8883 = 700227072 is the smallest cube in which each digit occurs exactly three times,[5] and the only cube in which three distinct digits each occur three times.[6]
It is a happy number in decimal, meaning that repeatedly summing the squares of its digits eventually leads to 1:
- [math]\displaystyle{ 888 \mapsto 64 + 64 + 64 = 192 \mapsto 1 + 81 + 4 = 86 \mapsto 64 + 36 = 100 \mapsto 1. }[/math]
There are exactly:
- 888 trees with four unlabeled and three labeled nodes,[7]
- 888 seven-node undirected graphs without isolated vertices,[8] and
- 888 non-alternating knots whose crossing number is 12.[9]
888 is equal to the sum of the first two Giuga numbers: 30 + 858 = 888.[10]
Symbolism and numerology
The number 888 is often symbolised within the international labour movement to symbolise the 8-hour day. Workers protested for 8 hours work, 8 hours rest and 8 hours time to themselves.
In some 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] The numerological representation of Jesus with the number 888, as the sum of the numerical values of the letters of his name, was condemned by the Church father Irenaeus as convoluted and an act which reduced "the Lord of all things" to something alphabetical.[13]
In Chinese numerology, 888 usually means triple fortune, as a form of strengthening of the digit 8. On its own, the number 8 is often associated with great fortune, wealth and spiritual enlightenment. Hence, 888 is considered triple.[14] For this reason, addresses and phone numbers containing the digit sequence 888 are considered particularly lucky, and may command a premium because of it.[15]
See also
- 888 (disambiguation)
References
- ↑ Sloane, N. J. A., ed. "Sequence A010785 (Repdigit numbers, or numbers with repeated digits)". OEIS Foundation. https://oeis.org/A010785.
- ↑ Sloane, N. J. A., ed. "Sequence A051004 (Numbers divisible both by their individual digits and by the sum of their digits)". OEIS Foundation. https://oeis.org/A051004.
- ↑ Sloane, N. J. A., ed. "Sequence A002998 (Smallest multiple of n whose digits sum to n)". OEIS Foundation. https://oeis.org/A002998.
- ↑ Nombres pratiques (in French), Jeux et Mathématiques, Jean-Paul Davalan, retrieved 2013-01-31.
- ↑ Sloane, N. J. A., ed. "Sequence A052071 (a(n)^3 is the smallest cube whose digits occur with the same frequency n)". OEIS Foundation. https://oeis.org/A052071.
- ↑ Khovanova, Tanya (2008), Number Gossip, Gathering for Gardner, Bibcode: 2008arXiv0804.2277K, http://www.tanyakhovanova.com/publications/0804.2277.pdf, retrieved 2018-05-23.
- ↑ Sloane, N. J. A., ed. "Sequence A000269 (Number of trees with n nodes, 3 of which are labeled)". OEIS Foundation. https://oeis.org/A000269.
- ↑ Sloane, N. J. A., ed. "Sequence A002494 (Number of n-node graphs without isolated nodes)". OEIS Foundation. https://oeis.org/A002494.
- ↑ Sloane, N. J. A., ed. "Sequence A051763 (Number of nonalternating knots with n crossings)". OEIS Foundation. https://oeis.org/A051763.
- ↑ Sloane, N. J. A., ed. "Sequence A007850 (Giuga numbers: composite numbers n such that p divides n/p - 1 for every prime divisor p of n.)". OEIS Foundation. https://oeis.org/A007850. Retrieved 2023-09-20.
- ↑ Dudley, Underwood (1997), Numerology: Or What Pythagoras Wrought, MAA Spectrum, Cambridge University Press, p. 105, ISBN 9780883855249, https://books.google.com/books?id=udptayxY2E8C&pg=PA105.
- ↑ Cheiro (2005), Book Of Fate And Fortune: Numerology And Astrology, Orient Paperbacks, p. 60, ISBN 9788122200461, https://books.google.com/books?id=464XH0LOCEgC&pg=PA60.
- ↑ Juan Acevedo, Alphanumeric Cosmology from Greek to Arabic, Mohr Siebeck 2020 p. 159
- ↑ Ratzan, Lee (2004), Understanding Information Systems: What They Do and Why We Need Them, American Library Association, p. 202, ISBN 9780838908686, https://books.google.com/books?id=lrdRYCRjUZUC&pg=PA202.
- ↑ Hooker, John (2003), Working Across Cultures, Stanford University Press, p. 191, ISBN 9780804748070, https://books.google.com/books?id=wJXo_mOXd1IC&pg=PA191.
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