248 (number)

248 (two hundred [and] forty-eight) is the natural number following 247 and preceding 249.

In mathematics[]

248 is:

• a nontotient.
• a refactorable number.
• an untouchable number.^[1]
• palindromic in bases 13 (161₁₃), 30 (88₃₀), 61 (44₆₁), 123 (22₁₂₃) and 247 (11₂₄₇).
• 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).

References[]