248 (number)
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248 (two hundred ndforty-eight) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...
following
247 __NOTOC__ Year 247 (Roman numerals, CCXLVII) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Philippus and Severus (or, less frequent ...
and preceding
249 __NOTOC__ Year 249 ( CCXLIX) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Gavius and Aquilinus (or, less frequently, year 1002 ''Ab ...
.


In mathematics

248 is: *a
nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotien ...
. *a refactorable number. *an
untouchable number An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). That is, these numbers are not in the image of the aliquot sum function. ...
. *palindromic in bases 13 (16113), 30 (8830), 61 (4461) and 123 (22123). *a Harshad number in bases 3, 4, 6, 7, 9, 11, 13 (and 18 other bases). *part of the 43-aliquot tree. The aliquot sequence starting at 248 is: 248, 232, 218, 112, 136, 134, 70, 74, 40, 50, 43, 1, 0. The exceptional Lie group E8 has dimension 248.


In religion

*The number 248 is the Gematria value for the Hebrew letters Ramach (Resh Mem and Het), traditionally depicted as the number of organs in the human body, and the number of positive commandments in the Torah. It is also the number of words in the Jewish Shema Prayer, inclusive of בָּרוּךְ שֵׁם כְּבוֹד מַלְכוּתוֹ לְעוֹלָם וָעֶד (Ba-ruch sheim k'vod mal-chu-to l'o-lam va-ed) in response to the first verse, and the repetition of יְהֹוָ֥ה אֱלֹֽהֵיכֶֽם אֱמֶ֔ת (A-do-nai E-lo-hei-chem Emet) by the Chazzan (prayer leader) in a Minyan (Quorum of ten Jews).


In astronomy

* An
orbit In celestial mechanics, an orbit is the curved trajectory of an object such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an object or position in space such as ...
of
Pluto Pluto (minor-planet designation: 134340 Pluto) is a dwarf planet in the Kuiper belt, a ring of bodies beyond the orbit of Neptune. It is the ninth-largest and tenth-most-massive known object to directly orbit the Sun. It is the largest ...
around the
Sun The Sun is the star at the center of the Solar System. It is a nearly perfect ball of hot plasma, heated to incandescence by nuclear fusion reactions in its core. The Sun radiates this energy mainly as light, ultraviolet, and infrared radi ...
takes around 248 years. * 248 Lameia is a main belt asteroid


References

{{Integers, 2 Integers